bluuebunny/crossref_metadata_2025 huggingface dataset:
Recall of the ASR XL Head and Hip Resurfacing Systems
Authors: Maurer-Ertl Werner , Friesenbichler Joerg , Holzer Lukas A. , Leitner Lukas , Ogris Kathrin , Maier Michael , Leithner Andreas
Published: December 2016

At the beginning of the 21st century, use of large-diameter, metal-on-metal devices was a popular procedure for hip replacement in young and physically active patients; however, within a few years, the number of revisions increased, resulting in a worldwide recall for the articular surface replacement (ASR) system. Complication rates for the ASR devices implanted at the authors' department are reported, with revision rates of 32% and 30% in the ASR XL Head and ASR Resurfacing groups, respectively. Reasons for revision surgery were serum metal ion elevation, luxation or subluxation, aseptic loosening, soft tissue compromise (adverse reactions to metal debris [ARMD]), and infection. The calculated implant survival for the ASR XL Head system and the ASR Resurfacing device (DePuy Orthopaedics Inc, Warsaw, Indiana) in the current series was 79% and 90%, respectively, at 60 months. Symptomatic patients with metal-on-metal devices, with or without elevated metal ion concentrations, should undergo cross sectional imaging to exclude ARMD. In cases of increased metal ion concentrations, local pain, or ARMD, revision surgery has to be evaluated. In the future, closer monitoring of new implants is needed to prevent high failure rates, as seen with the ASR design. Furthermore, the withdrawal of the device highlights the importance of national implant registries. [
Orthopedics.
2017; 40(2):e340–e347.]
Cemento de escorias
Authors: Fernández Vázquez-Gulias Julio C.
Published: December 2016

Not available
Eficacia de una puzolana de origen volcánico en la resistencia del hormigón
Authors: López Ruiz Álvaro
Published: December 2016

Not available
Investigación sobre fusión de contacto en materiales compuestos laminados Cu/Al
Authors: Pronichev Dmitry V. , Gurevich Leonid M. , Trykov Yury P. , Trunov Mikhail D.
Published: December 2016

Se presentan los resultados de composición química, microdureza y conductividad eléctrica obtenidos en materiales compuestos laminados Cu/Al, tratados térmicamente a temperaturas superiores a las del eutéctico Cu - Al. El bimetal Cu/Al fue obtenido por soldadura por explosión. La composición química del material tras los tratamientos térmicos se analizó por medio de análisis EDS (Espectroscopia de Energías Dispersiva de Rayos X). La conductividad eléctrica se midió mediante ensayos con corrientes Eddy. Las zonas endurecidas en el material soldado por explosión fueron identificadas. El valor experimental obtenido de la conductividad eléctrica está en concordancia con el calculado por la regla de las mezclas. Los tratamientos térmicos dan lugar a la formación de múltiples intercaras de alta dureza, compuestos de intermetálicos. La conductividad eléctrica de las intercaras identificadas es significativamente menor que las correspondientes al Cu y al Al.
Caracterización de escorias de cobre de fundiciones chilenas del Siglo XIX
Authors: Nazer Amin , Payá Jordi , Borrachero María Victoria , Monzó José
Published: December 2016

El objetivo de este trabajo es caracterizar 4 escorias de fundiciones de cobre del siglo XIX, procedentes de vertederos abandonados en la Región de Atacama - Chile, utilizando las técnicas de fluorescencia de rayos X (FRX), difracción de rayos X (DRX), microscopía electrónica de barrido (SEM), análisis de partículas por difracción láser (ADL), espectrometría infrarroja por transformadas de Fourier (FTIR) y análisis termogravimétrico (ATG). Las escorias de cobre estudiadas fueron clasificadas químicamente como escorias ácidas, con mayor contenido de SiO2 (38 - 49%) que de Fe2O3 (18 - 37%), y con una importante cantidad de CaO (8-26%) y Al2O3 (5-8%). Su mineralogía y estructura es variada, presentando una de ellas una estructura amorfa y las tres restantes, una estructura cristalina con cierto carácter amorfo. Las fases minerales mayoritarias presentes en las escorias de cobre son diópsido, fayalita, magnetita, cristobalita y clinoferrosilita. Los niveles de calcio indicarían que las escorias poseen propiedades cementantes para ser utilizadas en materiales de construcción. Además, la importante cantidad de escoria disponible y el contenido de CuO (0,6 - 1,2%) muestran que puede ser de interés como materia prima en la recuperación del metal.
Intracardiac thrombus in Behçet’s disease
Authors: Ben Ghorbel I. , Belfeki N. , Houman M.H.
Published: December 2016

Behçet’s disease (BD) is a multisystem inflammatory disorder. Intracardiac thrombus (ICT) formation is an uncommon but important complication of BD. Of the cases of Behçet’s disease, we selected those with ICT. All patients fulfilled the diagnostic criteria of the International Study Group of Behçet’s disease. The ICT in each case was confirmed by ultrasonography, computed tomography and MRI. Clinical features and laboratory parameters were determined. Among our 518 patients with BD, 8 were diagnosed as having intracardiac thrombus (ICT). All were male; the mean age at the time of the ICT diagnosis was 30.8 years. The main presenting symptoms were hemoptysis, chest pain, and dyspnea. It was associated with pulmonary artery aneurysm and vena cava thrombosis in 3 cases each, pulmonary embolism, and lower limbs deep venous thrombosis in 1 case each. The coexistence of other cardiac complications was as follows: pericarditis in 2 cases, myocarditis, endomyocardial fibrosis, and coronary arteritis with consequent myocardial infarction in one case each. In all cases, echocardiography was sufficient to reach the diagnosis. Chest computed tomography performed in all cases led to the diagnosis of associated pulmonary vasculo-Behçet lesions in 4 cases. All patients received colchicine, anticoagulation, and corticosteroids. Seven patients were on immunosuppressant agents (2 patients received azathioprine and 5 cyclophosphamide). Clinical remission with ICT resolution was observed in 5 cases. Combined immunosuppressive therapy with prednisone and cyclophosphamide might be needed to treat ICT due to BD.
The role of clinically significant antiphospholipid antibodies in systemic lupus erythematosus
Authors: Taraborelli M. , Lazzaroni M.G. , Martinazzi N. , Fredi M. , Cavazzana I. , Franceschini F. , Tincani A.
Published: December 2016

The objective is to investigate the role of clinically significant antiphospholipid antibodies (aPL) in a cohort of systemic lupus erythematosus (SLE) patients. All SLE patients followed for at least 5 years and with available aPL profile at the beginning of the follow-up in our center were studied. Clinically significant aPL were defined as: positive lupus anticoagulant test, anti-cardiolipin and/or anti- β2Glycoprotein I IgG/IgM >99th percentile on two or more occasions at least 12 weeks apart. Patients with and without clinically significant aPL were compared by univariate (Chi square or Fisher’s exact test for categorical variables and Student’s t or Mann-Whitney test for continuous variables) and multivariate analysis (logistic regression analysis). P values <0.05 were considered significant. Among 317 SLE patients studied, 117 (37%) had a clinically significant aPL profile at baseline. Such patients showed at univariate analysis an increased prevalence of deep venous thrombosis, pulmonary embolism, cardiac valvular disease, cognitive dysfunction and antiphospholipid syndrome (APS), but a reduced prevalence of acute cutaneous lupus and anti-extractable nuclear antigens (ENA) when compared with patients without clinically significant aPL. Multivariate analysis confirmed the association between clinically significant aPL and reduced risk of acute cutaneous lupus [p=0.003, odds ratio (OR) 0.43] and ENA positivity (p<0.001, OR 0.37), with increased risk of cardiac valvular disease (p=0.024, OR 3.1) and APS (p<0.0001, OR 51.12). Triple positivity was the most frequent profile and was significantly associated to APS (p<0.0001, OR 28.43). Our study showed that one third of SLE patients had clinically significant aPL, and that this is associated with an increased risk, especially for triple positive, of APS, and to a different clinical and serological pattern of disease even in the absence of APS.
Aseptic HLA B27-positive spondylodiscitis: decreased 18F-FDG uptake after etanercept treatment
Authors: Benucci M. , Damiani A. , Arena A. , Infantino M. , Manfredi M. , Li Gobbi F.
Published: December 2016

We observed a 69-year old man suffering from HLA B27 ankylosing spondylitis with persistent night back pain. 18F-FDG-PET/CT showed an increased metabolism at the level of the spinal space of L2-L3, L3-L4 with increased uptake compatible with spondylodiscitis. He started therapy with etanercept 50 mg/week. After six months of treatment repeated testing showed no uptake of the discs and vertebral bodies.
A case of mandible Paget’s disease of the bone treated with intravenous neridronate
Authors: Fassio A. , Idolazzi L. , Rossini M. , Viapiana O. , Gatti D.
Published: December 2016

Paget’s disease of bone (PDB) is a focal disorder of osteoclasts, leading to chaotic bone remodelling, and it is characterized by the presence of focal areas of excessive bone formation alongside with areas of focal bone resorption. The typical radiographic feature is the cotton wool appearance. To date, bisphosphonates are the mainstay of the treatment. We hereby report the case of a young woman presenting with mandible PDB, with a relevant diagnostic delay and mistakenly treated for five years with chronic oral corticosteroids. After our evaluation, the patient received treatment with intravenous neridronate (an amino-bisphosphonate licensed in Italy for the treatment of this disease), with achievement of clinical remission.
Eine Verallgemeinerung der Lambert-Transformation (II)
Authors: Glaeske Hans-Jürgen , Stallknecht K.
Published: December 2016

In this paper an inversion formula is proved for the generalized Lambert-transformation which was introduced by the authors in part (I). The proof is possible by means of the representation of this transformation as a Laplace-Stieltjes-transformation, the representation of the Laplace-Stieltjes-transformation as a sum of generalized Lambert transformations and reverse.
Abschätzungen für das Spektrum von $\Delta_p$ auf Räumen konstanter Krümmung
Authors: Eichhorn Jürgen
Published: December 2016

We present estimations for the first eigenvalue of

\Delta_p

on spaces

M

of constant curvature in terms of vol (

M

),

d_M

and the radius of the greatest geodesic ball contained in

M

. The applied method in an essential way uses the zeros of spherical functions.
Spektrale Geometrie und Huygenssches Prinzip für Tensorfelder und Differentialformen II
Authors: Schimming Rainer , Teumer Gunter
Published: December 2016

Geometrical properties (especially local flatness) of a Riemannian manifold are recognized from analytical properties (spectrum or Huygens’ principle) of a Laplace operator. Especially, the "definiteness problem" of the spectral geometry of closed manifolds is solved for the canonical Laplace operator which acts on diffrential forms.
Verbindungsregeln (matching rules) für Projektoren in linearen Räumen
Authors: Felgenhauer Andreas
Published: December 2016

Matching rules and composite expansion are useful in asymptotic theory of singular perturbations (method of matched asymptotic expansions, MAE). In this paper we give an algebraic definition of matching rules in abstract vector spaces. We consider the well-known rules from this point of view. By the generality of the definitions we are able to construct new matching rules.
Zur numerischen Bestimmung des Abbildungsgrades im $\mathbb R^n$ I
Authors: Kliesch Wolfgang
Published: December 2016

Two formulas computing the topological degree of a continuous function

\Phi

relative to an

n

-dimensional polyhedron

P^n

are presented. Both formulas are based on the same idea of construction. Let T be a triangulation of the boundary of

P^n

and let f

(c)

= sgn

\Phi (e), e \in

E(T), be a simplicial mapping from T into a boundary triangulation of the

n

-dimensional unit cube, then the topological degree of the function

\Phi

relative to

P^n

is given by

\mathrm {deg} (\Phi, \mathrm {int} \; P^n) = k^{-1} \sum_{\sigma \in \mathrm T_{n-1}} \mathrm {sgn \; d}(\sigma, \Phi),

\mathrm d(\sigma, \Phi := \mathrm {det} (\mathrm f (a^1) \dots \mathrm f (a^n)), \quad \sigma = [a^1 \dots a^n],

if T is oriented in a suitable manner.

The second computation formula is based on a simplicial mapping from T into the natural boundary triangulation of the

n

-dimensional unit octahedron.
Einige Bemerkungen zur Anfangs-Randwertaufgabe $\frac{\partial}{\partial t} u - h(x, t) \Delta u =f$ mit meßbarem Koeffizienten
Authors: Heinrich Jörg
Published: December 2016

In the present paper the mixed problem

\frac{\partial}{\partial t} u - h(x, t) \Delta u =f

with measurable coefficient is considered at first for special domains (cubes) by a modification of Banach’s fixed point theorem. Starting from this we get an existence and uniqueness theorem for domains of the class

O^2

. Several properties of the solution are discussed.
Redundancy Conditions for the Functional Equation $f(x + h(x)) = f(x) + f(h(x))$
Authors: Forti Gian Luigi
Published: December 2016

Consider the functional equation

f(x+ h(x)) = f(x) + f(h(x))

, where

h: \mathbb R \to \mathbb R

is a given continuous function,

h(0) = 0

. It is proved if the set of all zeros of

h

and of all points where

h(x) = -x

is not "too much dense", then the continuous and at

x = 0

differentiable solution

f: \mathbb R \to \mathbb R

of the functional equation under consideration is

f(x) = xf’(0)

for all real

x

.
Lorentz-Folgenräume mit logarithmischem Gewicht
Authors: Baumbach Georg
Published: December 2016

The paper deals with sequence spaces of Lorentz type equipped with a "logarithmic" weight. They may be used for the investigation of sequences behaving asymptotically like

n^\alpha (\mathrm {log} \: n)^\beta \quad (\alpha, \beta \: \mathrm {real}, \alpha < 0).

. The main result is one about real interpolation. Besides, important properties of these spaces corresponding to those of Lorentz sequence spaces are summarised. A prospect of similar function spaces is given.
Generalization of Cramér’s and Linnik’s Factorization Theorems in the Continuation Theory of Distribution Functions
Authors: Rossberg H.-J.
Published: December 2016

Stimulated by a problem of Kruglov and a result of Titov we derive an elementary continuation theorem for distribution functions. It implies the following generalization of Carmér’s theorem. Let

F_1

and

F_2

be two non-degenerate distribution functions such that

F_1 \ast F_2(x) = \Phi_{a, \sigma}(x), \quad \quad x \leq x_0

where

x_0 \in \mathbb R_1

and

\Phi_{a, \sigma}

stands for the normal distribution

N(a, \sigma^2)

; if the corresponding characteristic functions

f_1

and

f_2

do not vanish in the upper half plane, then

F_1

and

F_2

are also normal. Linnik’s theorem can be analogously generalized. More general variants are also discussed.
Über die Struktur maximaler Ideale in LMC*-Algebren
Authors: Fritzsche Marlen
Published: December 2016

We describe the structure of dense maximal left ideals for the simplest non-commutative LMC*-algebras. Further we show, for these examples, that the correspondence "dense maximal left ideals

\to

extremal states of the bounded part of the algebra, not extendable to continuous states of the whole algebra" is not one-to-one as in the commutative case.
Spektrale Geometrie und Huygenssches Prinzip für Tensorfelder und Differentialformen I
Authors: Schimming Rainer
Published: December 2016

Several Laplace operators

L

over an

n

-dimensional Riemannian manifold (

M, g

), applying to tensor fields and (alternating or symmetric) differential forms of degree

p

, are considered. For definite

g

and closed

M

results on spectral geometry are obtained. If e.g. some

L

is iso-spectral to a Laplacian of a flat manifold and

p

greater than some bound depending on

n

, then

(M, g)

is flat. For lorentzian

g

and

n = 6

results on
Huygens’ principle
(
HP
) are obtained. From

HP

and additional assumptions there follows that

(M, g)

is flat.
On the Pendant Liquid Drop
Authors: Finn Robert
Published: December 2016

The volume, diameter and other geometrical quantities associated with a pendent liquid drop are shown to be equibounded among all symmetric drops in equilibrium configuration. Explicit bounds are given, and they are shown to be valid also for configurations that are known to be statically unstable.
Ein ailgemeines Bifurkationstheorem
Authors: Zeidler Eberhard
Published: December 2016

We prove a general bifurcation theorem. Using generic bifurcation conditions, we select a set

B

of normalized elements in the null space of the linearized operator. From each element of

B

there bifurcates exactly one solution branch of the given nonlinear operator equation. Moreover, we can construct the branches by a convergent iterative method. The theorem allows a variety of interesting applications, e.g., to free boundary value problems in the theory of ideal fluids, to Taylor’s problem and Bénard’s problem in the framework of the Navier-Stokes equations, and to Hopf bifurcation.
Some Special Inverse Problems for the Laplace Equation and the Helmholtz Equation
Authors: Anger Gottfried , Kleine Eckhard
Published: December 2016

The paper deals with a special inverse source problem relative to the Laplace equation. An unknown mass distribution (measure) concentrated on a given domain is to be determined from the boundary values of its Newtonian potential or from the boundary values of its gradient. In Theorem 1 we prove that the second problem can be reduced to the first one. There exist infinitely many positive mass distributions satisfying the condition under consideration. Therefore an equivalence relation on the set of all positive mass distributions is introduced. In earlier papers the first author studied this equivalence relation from a systematic point of view. To uniquely determine the unknown mass distribution additional conditions are necessary. Here we study the case in which the density of a volume distribution is a harmonic function. Further, we prove that an identification problem for the Helmholtz equation can be transformed into the special inverse problem considered.
Interpolation by Special Exponential Polynomials
Authors: Berg Lothar
Published: December 2016

There are investigated the branching properties of the nonlinear interpolation by a polynomial multiplied with an exponential function.
Para-Differential Operators in Spaces of Triebel-Lizorkin and Besov Type
Authors: Runst Thomas
Published: December 2016

In this paper we study the regularity of solutions of non-linear partial differential equations in spaces of Besov and Triebel-Lizorkin type. We extend results obtained by J. M. Bony and Y. Meyer to spaces considered here.
Zur Regularität schwacher Lösungen thermoelastischer Variationsprobleme für stückweise stetige, anisotrope Körper unter Kopplungsbedingungen
Authors: Funke Regina
Published: December 2016

There are studied regularity properties of weak solutions of variational problems of thermoelasticity for anisotropic, heterogeneous bodies under coupling conditions along the surfaces of discontinuity.
Strong solutions of a two-dimensional stochastic Navier-Stokes system and corresponding Kolmogorov equations (in Russian)
Authors: Vishik Marko I. , Komech Alexander I.
Published: December 2016

A random process governed by a two-dimensional, stochastic Navier-Stokes system with a white noise under periodic boundary conditions is constructed. The solution of the corresponding Kolmogorov forward equation is obtained in the class of exponentially decreasing measures. Furthermore, the generalized solution of the corresponding Kolmogorov backward equation is also constructed. This solution possesses a probabilistic representation as path integral and satisfies a Hölder condition. The generalized solution is defined by the Green identity for the solution of the Kolmogorov forward and backward equations. On any small interval of time this generalized solution of the Kolmogorov backward equation is the classical one.
Bergman-Vekua Operators and "Generalized Axially Symmetric Potential Theory"
Authors: Lanckau Eberhard
Published: December 2016

The generalized complex integral operators of Bergman-Vekua type give a uniform approach to construct solutions to various linear partial differential equations with three independent variables. The operators associate holomorphic functions of two complex variables and the solutions of the mentioned equations. Here we specify the complex, integral operators for the three-dimensional case for application to a special equation for axisym metric, problems (i.e. instationary axisymmetric problems in the plane or stationary axisymmetric problems in the space). Furthermore, the relations between the "Generalized Axially Symmetric Potential Theory", due to A. Weinstein et al., and the Bergman-Vekua operators are given and used in the explicit representation of the solutions.
Lösung semilinearer parabolischer Rand- AnIangswertprobleme durch monotone Iteration im Sobolevraum $W_2^{1,1} (Q_T)$
Authors: Carl Siegfried
Published: December 2016

The method of monotone iteration for solving semilinear parabolic initial boundary value problems in its classical formulation only works under sufficient smooth conditions on the coefficients of the problem. In the paper an extension of this method into a wider function space is proved, that alIows much weaker assumptions on the data of the problem.
Asymptotische Darstellungen der hypergeometrischen Funktion für grosse Parameter unterschiedlicher Grössenordnung
Authors: Wagner Eberhard
Published: December 2016

Asymptotic representations of the hypergeometric function

F(a, b; c; z)

are derived where

b

and

c-b

either constants or tend to infinity independently of one another provided that Re

b = O_L(1)

, Re

(c-b) = O_L(1)

and

b = o(a^{1/2-\delta}), c = o(a^{1/2-\delta}), \delta > 0

.
On the Convergence of Measurable Selections and an Application to Approximations in Stochastic Optimization
Authors: Römisch Werner
Published: December 2016

Conditions are given that guarantee that a sequence (of sets) of measurable selections converges almost surely, in probability and in mean. These conditions are related to the convergence of the underlying sequence of measurable multifunctions. The results are applied to approximations for the so-called "distribution problem" of stochastic optimization.
Contribution to the Theory of Generalized Derivatives
Authors: Gähler Siegfried
Published: December 2016

Lower and upper derivatives are considered. For them certain extensions of fundamental assertions of the differential calculus (product rule, quotient rule, mean value theorem etc.) and as application a generalization of the Euler differential equation are given.
A Variational Principle for Equations and Inequalities with Maximal Monotone Operators
Authors: Krauss Eckehard
Published: December 2016

Let be given a variational inequality with a monotone operator. We describe the set of solutions by a modified variational principle. This still remains valid if the operator is not a subdifferential of a convex function. It allows a physical interpretation and shows in which sense the monotonicity of the operator leads to "globally stable" solutions of the variational in equality.
On the Stability Property for a General Form of Variational Inequalities
Authors: Chong Le Van
Published: December 2016

Stability criteria for a general form of variational inequalities in reflexive Banach spaces are established under assumptions on the monotonicity, concavity, continuity and boundedness of the parameter-dependent problem. Some special cases are considered.
Einige notwendige Optimalitätsbedingungen für einfache reguläre Aufgaben der optimalen Steuerung
Authors: Phú Hoàng Xuân
Published: December 2016

Three necessary conditions for optimal solutions of special regular optimal control problems with state and control constraints are proved. These conditions are then applied to a class of problems.
Zwei Versionen von verallgemeinerten Sätzen über implizite Funktionen
Authors: Günther Matthias
Published: December 2016

The solvability of the nonlinear implicit equation

F(u,f) = 0

in Banach spaces is examined. Theorem 1 covers situations in which

D_uF^{-1}

does not exist, but

F

can be approximated by means of mappings

F_t

with better properties. Theorem 2 is of Moser-Nash type. In order to obtain optimal regularity results the Newton iteration method is combined with a triple approximation technique using smoothing operators and properties of certain interpolation spaces.
Abelian Theorem for the Distributional Stieltjes Transform
Authors: Pilipović Stevan , Stanković Bogoljub
Published: December 2016

Using the notion of quasi-asymptotic behaviour at infinity of tempered distributions, we give an Abelian theorem for the distributional Stieltjes transform. It includes all known results, as well as some new ones.
Two-Sided Estimations for Nonlinear Parabolic Systems with Functionals
Authors: Voigt Wolfgang
Published: December 2016

Nonlinear prabolic systems are investigated. The differential equations as well as the non-linear boundary conditions involve additionally functional terms. On unbounded domains, two-sided uniform estimates are proved for the solutions of differential inequalities corresponding to the mentioned systems, while the asymptotic growth of these solutions is given. The estimates provide uniqueness and stability.
A criterion for the regularity of the infinitely distant point for the Zaremba problem in a half-cylinder (in Russian)
Authors: Kerimov T.M. , Maz'ya Vladimir G. , Novruzov A.A.
Published: December 2016

The asymptotic behaviour at infinity of solutions to the Zaremba problem for the Laplace operator in a half-cylinder is studied. Pointwise estimates for solutions, the Green function and the harmonic measure are obtained in terms of the Wiener capacity. The main result is a necessary and sufficient condition for regularity of a point at infinity.
Steady State Solutions of the Satsuma-Mimura Diffusion Equation
Authors: von Wolfersdorf Lothar
Published: December 2016

The steady state solutions of the diffusion equation of Satsuma and Mimura are derived by means of reducing to an ordinary complex differential equation of first order.
On the Spectrum of Schrödinger Operators at the Half Space with a Certain Class of Boundary Conditions
Authors: Schröder Manfred
Published: December 2016

The spectrum of free Schrödinger operators at the half space with boundary condition

\varphi_n – Q\varphi = 0

(

\varphi

being the normal derivative,

Q

a self-adjoint operator at the boundary) is investigated and a connection between its negative part and the spectrum of a family of Klein–Gordon type operators is stated.
Uniqueness of the Solution of an lnverse Problem for a Quasilinear Parabolic Equation in Divergence Form
Authors: Dümmel Siegfried , Handrock-Meyer Sybille
Published: December 2016

The quasilinear parabolic differential equation

u_t = \mathrm {div} (a (u) \mathrm {grad} u)

with a constant initial condition and a boundary condition of the first kind is considered where

a

is a positive analytic function of

u

. Under some additional assumptions on u a uniqueness theorem for the determination of the coefficient a is proved.
On the Reduction Procedure for a Nonlinear Integro-Differential Equation
Authors: Benkert Frank
Published: December 2016

A complete characterization of the global connexion of the solutions of a special nonlinear integro-differential equation is given. To this end, a global reduction method is applied, which leads to the solution of a one-dimensional problem.
On a Class of Generalized $K$-Entropies and Bernoulli Shifts
Authors: de Paly Thomas
Published: December 2016

The paper presents the construction of an example important for the discussion of some generalizations of the

K

-entropy. These generalizations have been introduced in a previous paper. A formula for the generalized entropies of a process is calculated for the case where the process is given by a Bernoulli shift and a partition consisting only of cylinder sets. Furthermore, a special optimization problem on the set of all probability vectors of a given entropy is solved using a new method. The results of these computations are combined to the cited example.
An Improved Multi-Parameter Adjustment Algorithm for Inverse Eigenvalue Problems
Authors: Hofmann B.
Published: December 2016

A multi-parameter adjustment algorithm for regularization is established and motivated. Based on numerical experiments concerning the solution of an inverse eigenvalue problem an improved version of this algorithm can be suggested.
Nonlinear noncoercive equations and applications
Authors: Drábek Pavel
Published: December 2016

This paper deals with the periodic solvability of the nonlinear beam equation

\beta u_t + u_{tt} + u_{xxxx} - \lambda u + \varphi (u) = f,

which depends on non-linear

\varphi : \mathbb R \to \mathbb R

. This paper continues the subject of the paper by S. Fucik [6]. We present some new methods and results which are not included in [6].
Local Approximation Spaces
Authors: Triebel Hans
Published: December 2016

The paper deals with characterizations of spaces

F^s_{pq}

and

B^s_{pq}

on

\mathbb R^n, \mathbb R^n_+

and bounded domains via local oscillations and differences of functions. Furthermore Morrey-Campanato spaces are treated.
A Note on the Strong-Operator Topology or Countably Generated $O$-Vector Spaces
Authors: Schmüdgen Konrad
Published: December 2016

The countably generated closed

O

-vector spaces

\mathcal A

for which the strong operator topology is the finest locally convex topology on

\mathcal A

are characterized by a necessary and sufficient condition.
A Class of Nonlinear Singular Integro-Differential Equations
Authors: von Wolfersdorf Lothar
Published: December 2016

By means of the main theorem of the theory of pseudo-monotone operators, an existence theorem is proved for a class of nonlinear singular integro-differential equations of Cauchy type and two related classes of nonlinear integral equations.
A Stabilization Method for the Tricomi Problem
Authors: Lar'kin N.A. , Schneider M.
Published: December 2016

We prove the existence of a generalized solution of the Tricomi problem for the equation

L_0[u] = T[u] + \lambda l (u) := yu_{zz} + u_{yy} + \lambda 1 (u) = f

, where

l = \alpha^1 \partial /\partial x + \alpha^2 \partial / \partial y

is a special differential operator and

\lambda ≥ 0

is a constant. Then we show the solvability of an initial boundary value problem for the evolution equation

L[u] = T[u] + \partial (u)/ \partial t = F

by an aproximation method. It is shown that the generalized solution of the evolution problem converges to the generalized solution of the Tricomi problem

T[u] = f

as

t \to \infty

. The rate of convergence is estimated.
Obere und untere Schranken vollergodischer dynamischer Systeme mit quasidiskretem Spektrum
Authors: Häsler Karin
Published: December 2016

For every class of dynamical systems the factor conception induces an order structure. With respect to this structure one can regard common factors and common multiples of any two dynamical systems. In the following this question is studied for the class

\mathcal H*

of totally ergodic dynamical systems with quasidiscrete spectrum and conditions of existence and of uniqueness are considered for maximal lower and minimal upper bounds for any two systems of

\mathcal H*

.
Iterated Dirac Operators in $\mathbb C^n$
Authors: Ryan John
Published: December 2016

We give a clssification of linear, conformally invariant, Clifford algebra valued differential operators over

\mathbb C^n

. Such operators comprise of the Dirac operator and its iterates. We show that the function theory, associated to the Dirac operator in

\mathbb R^n

and

\mathbb C^n

can be generalized to all these operators.
Integration by Means of Riemann Sums in Banach Spaces I
Authors: Erben Wolfgang , Grimeisen Gerhard
Published: December 2016

In 1938, G. Birkhoff [2] developed a theory of integration in Banach spaces which uses the approach via modified Riemann sums. In our paper, we generalize Birkhoff’s integration by basing it on an arbitrary set of "

\mu

-partitions" (being directed in a natural way) instead of the set of all "

\mu

-partitions" of the underlying measure space

(F, \mu)

. Our technique of working with infinite Riemann sums and limits of filtered families of such sums takes advantage of the 1-point completions of certain partial universal algebras as discussed by G. Grimeisen in [13].
Optimalitätsbedingungen für Prozesse in Evolutionsgleichungen $n$-ter Ordnung
Authors: Kampowsky Winfried
Published: December 2016

This paper deals with optimal control problems governed by nonlinear abstract ordinary differential equations of higher order with initial conditions. The considered evolution equations of higher order can be transformed into evolution equations of first order and can be soved then using the theory of monotone operators. For the control problems necessary optimality conditions are derived which are also sufficient in a special ease.
Die Gleichgewichtsform eines Ferrofluid-Tropfens in zweiter Näherung
Authors: Beyer Klaus
Published: December 2016

The paper contains the deduction of a second-order approximate formula for the shape of a ferrofluid drop in a homogeneous magnetic field.
On a Free Boundary Problem Modelling Thermal Oxidation of Silicon
Authors: Zhicheng Guan
Published: December 2016

Considering the problem modelling thermal oxidation of silicon as one-phase non-equilibrium problem, we use Schauder’s fixed point theorem to prove the existence and uniqueness of the classical solution.
On an Iterative Algorithm for Solving Nonlinear Operator Equations
Authors: Argyros Ioannis K.
Published: December 2016

The Secant method for solving nonlinear operator equations in Banach spaces is considered. By assuming that the Fréchet derivative of a nonlinear operator is only Hölder continuous we show that the secant iteration converges to a locally unique solution. Examples are also given where our results apply and some related ones already in the literature fail.
Transmutations and Ascent
Authors: Bragg Louis R.
Published: December 2016

We treat the method of ascent for partial differential equations by means of transmutations. We construct a kernel function for the radial generalized axially symmetric potential theory Dirichlet problem that involves

n

radial variables. We also construct ascent type formulas for hypergeometric functions of operators and apply one of them to construct a solution of an ill posed Cauchy problem. Generating functions of special multivariable solution sets of partial differential equations are also considered.
Correction to Products of Distributions: Nonstandard Methods
Authors: Oberguggenberger Michael
Published: December 2016

The purpose of this note is to correct a faulty structure theorem for limited distributions, claimed to hold in [1] in the setting of Internal Set Theory. Though the assertion could not be recovered completely, a weaker version suffices to prove those results in [1] which depended on it.
A Dynamic Problem of Thermoelasticity
Authors: Nečas Jindřich , Růžička Michael
Published: December 2016

A space-periodic problem of nonlinear thermoelasticity is considered. For an elastic, linear, isotropic, homogeneous, nonviscous body in small geometry, we obtain a nonlinear system of equations. For small coefficient of the heat extension a we find a time-global weak solution of the initial-value problem. The smallness of a is independent of the length of the time interval and of the datas. The space periodicity of the solution is related to the absence of reflected waves. A mixed problem for a bounded domain, even with a smooth boundary, seems to be an open problem. Our work is closely related to that by J. Necas [5] and by J. Necas, A. Novotny and V. Sverak [6].
On an Algorithm for Optimal Control Using an Augmented Hamiltonian
Authors: Flemmig Ute , Poppe Harry
Published: December 2016

An algorithm on optimal control due to Y. Sakowa and Y. Shindo is considered. it is based on Pontryagins minimum principle and the Hamiltonian is extended by a penalty term. Using another penalty term for this algorithm, under suitable assumptions we can show that each sequence of control vectors generated by the algorithm converges with respect to the

L_1

-norm to an admissible control fulfilling the first order optimality condition.
A Strengthening of a Lemma on Continuous Families of Closed Convex Sets
Authors: Klötzler Rolf
Published: December 2016

Let

X

be a normed linear space and

E(\cdot)

a family of set-valued mappings on a metric space

T

. lt will be shown the following strengthening of a result by S. Rolewicz. If

E(\cdot)

is lower semi-continuous in

t_o

and

O c

int

E(t_o)

, then

O c

int

E(t)

holds for sufficiently neighbouring

t

of

t_o

too.
Derived Sets in Multiobjective Optimization
Authors: Breckner W.W.
Published: December 2016

In the present paper the theory of derived sets established by M. R. Hestenes and J. W. Nieuwenhuis for optimization problems with a real-valued objective function and a finite number of constraints is extended to multiobjective optimization problems. The main result asserts that local solutions of weak multiobjective optimization problems satisfy a multiplier rule.
On the Uniqueness and Asymptotic Behaviour of Plasma Corners
Authors: Kunze M.
Published: December 2016

In [2] the existence of solutions to a certain free boundary problem describing a plasma-vacuum interface in plane geometry was shown. This paper is a supplement to the investigation of R. Kaiser and D. Lortz in [2]: We shall first remark that the existence of such solutions (so-called plasma corners) can be proved by using a more general approach. Then we shall show uniqueness for small parameters, and finally we shall derive exact formulas describing the asymptotic behaviour of solutions at the corner.
On the Existence of Closed Orbits for a Differential System
Authors: Hui-Feng Wang , Shu-Xiang Yu
Published: December 2016

Some criteria which verify the existence or non-existence of closed orbits for a non-linear differential system are given.
On Counterexamples for Rates of Convergence concerning Numerical Solutions of Initial Value Problems
Authors: Dickmeis Werner , Nessel Rolf Joachim
Published: December 2016

The present note is concerned with the approximation of the exact solution of a properly posed initial value problem by finite difference methods. It is shown that those rates of convergence obtained in previous papers on abstract Lax-type theorems with rates are indeed sharp. This is achieved as a consequence of a general uniform boundedness principle with rates, given in the setting of discrete approximations of Banach spaces. The method of proof is the familiar gliding hump method but now equipped with rates. The applications presented emphasize the unifying approach to various concrete results scattered in the literature.
Spline Approximation Methods Cutting Off Singularities
Authors: Roch Steffen
Published: December 2016

The topic of this paper is some types of singular behavior of spline approximation methods for one-dimensional singular integral operators which are caused by discontinuities in the coefficients or by non-smooth geometries of the underlying curves. These singularities can be cutted off by a modification of the approximation method which is closely related to the finite or infinite section method for discrete Toeplitz operators. Using Banach algebra techniques, one can derive stability criteria for a large variety of modified methods (including Galerkin, collocation, and qualocation.
Uniqueness Theorems in Linear Theory of Microporous Solids
Authors: Gegelia Tengiz G. , Jentsch Lothar
Published: December 2016

This paper deals with uniqueness theorems for external boundary value problems and a contact problem for a system of differential equations of the linear elasticity theory of nicroporous solids. Here we have derived an asymptotic representation of the solution of this system in a neighbourhood of infinity which has enabled us to prove new uniqueness theorems.
On the Behaviour of Solutions to the Dirichiet Problem for Second Order Elliptic Equations near Edges and Polyhedral Vertices with Critical Angles
Authors: Maz'ya Vladimir G. , Rossmann Jürgen
Published: December 2016

The Dirichiet problem for second order elliptic equations will be considered in domains of

\mathbb R^N

with smooth (

N-2

)-dimensional edges at the boundary. The authors get the asymptotical decomposition of the solution near edges with angles running through a critical value. Furthermore, the first terms of the asymptotics of the solution near a polyhedral vertex are given for a domain with critical angle

\pi

/2 in the vertex.
A Spectral Mapping Theorem for Representations of Compact Groups
Authors: Arendt Wolfgang , D'Antoni Claudio
Published: December 2016

Let

U

be a strongly continuous bounded representation of a locally compact group

G

on a Banach space

E

. For a bounded regular Borel measure

\mu

on

G

, we denote by

U(\mu)

the operator

U(\mu) = \int U(t) d\mu (t)

. If

G

is abelian, it is known that

\sigma (U(\mu)) = \hat {\mu} (\mathrm {sp} U))^–

holds if the continuous singular part of it is zero (where

\sigma (U(\mu))

denotes the spectrum of the operator

U(\mu)

, sp

(U)

the Arveson-spectrum of

U

and

\hat {\mu}

the Fourier–Stieltjes transformation of

\mu

.)

In the present article a corresponding spectral mapping theorem is proved for compact (non-abelian) groups and absolutely continuous measures. Moreover, it is shown that - in contrary to the abelian case - the spectral mapping theorem fails for purely discontinuous measures.
Fractal Interpolation Functions from $R^n$ into $R^m$ and their Projections
Authors: Hardin Douglas , Massopust Peter R.
Published: December 2016

We construct fractal interpolation functions from

\mathbb R^n \to \mathbb R^m

, and consider the projections of their graphs onto

\mathbb R^n \times \mathbb R^m

. Since these projections still depend continuously on all the variables we refer to them as hidden variable fractal interpolation surfaces. The hidden variable fractal interpolation surfaces carry additional free parameters and are thus more general than, for instance, the fractal surfaces defined earlier by the authors. These free parameters may prove useful in approximation-theoretic considerations. A formula for the box dimension of a hidden variable fractal interpolation surface is presented.. This dimension parameter could be used to distinguish different textures on natural surfaces.
Free Boundary Value Problems for the Stationary Navier-Stokes Equations in Domains with Noncompact Boundaries
Authors: Gellrich R.S.
Published: December 2016

A free boundary problem for an incompressible viscous fluid in a domain with noncornpact boundaries is considered; the upper boundary is to be determined by equilibrium conditions involving the fluid stress tensor and its surface tension. It is proved that if the data of the problem are regular, then the free boundary, the velocity vector and the pressure are regular. Furthermore the exponential decay of the solution is shown.
On Regularity of Solutions to Inner Obstacle Problems
Authors: Banasiak J. , Szczepaniak J.
Published: December 2016

We determine the class of obstacles, for which the solution of the corresponding inner obstacle problem has the same regularity as obtained when the obstacle is defined on the whole domain. We also show that this is practically the only class of obstacles having this property for arbitrary right-hand sides.
Gleichmässige asymptotische Entwicklungen für Parameterintegrale mit zwei reellen Parametern
Authors: Schell Hans-Joachim
Published: December 2016

In [8] asymptotic approximations for a class of integrals depending on two real parameters

s, \alpha

were obtained. They are valid if

s

tends to

s_0

and hold uniformly in certain

\alpha

intervals. Now these results are generalized by deriving asymptotic expansions for the same class of integrals. Again, two cases are considered: a) the integrand has a simple maximum interior to the interval of integration, b) this interval contains no inner stationary point. The results are applied to the Anger function and to the incomplete gamma function.
Axially Symmetric Flow with Finite Cavities I
Authors: Brock Friedemann
Published: December 2016

an obstacle is proved. The flow is either in a cylindrical pipe or an unbounded region and the cavity may be finite. The proof is based on a variational approach for a non-continuous func-tional. Essentially is the assumption that the obstacle is starlike with respect to some point on the axis of symmetry. This allows to apply the technique of symmetrization on the stream function.
Sufficiency Conditions for Weak Local Minima in Multidimensional Optimal Control Problems with Mixed Control-State Restrictions
Authors: Pickenhain Sabine
Published: December 2016

In [13] a new sufficiency criterion for strong local minimality in multidimensional non-convex control problems with pure state constraint was developed. In this paper we use a similar method to obtain sufficient conditions for weak local minimality in multidimensional control problems with mixed state-control restrictions. The result is obtained by applying duality theory for control problems of Klötzler [11] as well as first and second order optimality conditions for optimization problems described by

C^1

-functions having a locally Lipschitzian gradient mapping. The main theorem contains the result of Zeidan [17] for one-dimensional problems withoutstate restrictions.
Numerical Solutions for Some Free Boundary Value Problems Occuring in Planar Fluid Dynamics
Authors: Gilbert Robert P. , Guo-chun Wen
Published: December 2016

In the paper [1], we consider the solvability of some free boundary value problems occuring in planar fluid dynamics. The object of the present paper is to present numerical methods for solving free boundary problems. It was shown in [1] that such free boundary problems may be transformed into a mixed boundary value problem for a linear or nonlinear elliptic complex equations, which in turn, might be reformulated into a conformal mapping or quasiconformal mapping from a general domain onto some canonical domain. In this paper we direct our discussion to the numerical solution of mixed boundary value problems for generalized Beltrami equations.
On the Flow of a Temperature-Dependent Bingham Fluid in Non-Smooth Bounded Two-Dimensional Domains
Authors: Kalex H. Ulrich
Published: December 2016

A result on the existence and smoothness of solutions for temperature-coupled Bingham problems in non-smooth bounded 2D-domains is proved, which complements the results of G. Duvaut and J. L. Lions [3] on this subject.
Oscillation Criteria for Certain Second Order Difference Equations
Authors: Thandapani E.
Published: December 2016

Some oscillations criteria for the second order nonlinear difference equations

\Delta^2y_{n–1} + \Sigma ^m_{i=1} q_{in} f_i(y_n)g_i (\Delta y_{n–1} = 0, (n \in \mathbb N)

are established.
On some class of holomorphie functions of several complex variables
Authors: Mazurek Ryszard
Published: December 2016

The aim of the paper is to generalize some well-known estimations for holomorphic functions of one complex variable to the case of several complex variables.
A Representation Formula for Three-Dimensional Stokes Flows
Authors: Kratz Werner , Lindae Andreas
Published: December 2016

In this note there is derived a representation formula for the velocity field and the pressure of three-dimensional Stokes flows via three (scalar and unique) harmonic functions. This formula yields the complete system of interior solutions of the Stokes equations by R. N. Kaufmann when expanding the harmonic functions in terms of spherical harmonics.