bluuebunny/crossref_metadata_2025 huggingface dataset:
Parametric Quadratic Splines with Minimal Curvature
Authors: Maess Gerhard , Frischmuth Kurt
Published: December 2016

The concept of curvature-minimizing is extended to parametric polynomial splines of degree two. In contrast to the non-parametric case the resulting smooth curve is invariant under rotation of the co-ordinate system. Moreover, for a certain choice of the parameters (defining the functional to be minimized) it may be interpreted as a minimizer of the strain energy. For the case that the given data are points on a sufficiently smooth curve there is given an

O(h^2)

error estimation (

h

- steplength).
Existence and Approximation Results to the Cauchy Problem for a Class of Differential-Algebraic Equations
Authors: Schneider K.
Published: December 2016

For a class of differential-algebraic equations arising for example in modelling electrical circuits conditions are derived which ensure the existence of a unique solution of the Cauchy problem on any finite interval and its computation by means of a wave-form relaxation algorithm in case of a large system. The solution concept is understood in the sense of Carathéodory.
On an Application of a Modification of the Zincenko Method to the Approximation of Implicit Functions
Authors: Argyros Ioannis K.
Published: December 2016

We use the Zincenko iteration to approximate implicit functions in a Banach space by solving a linear algebraic system of finite order. The non-linear equations involved contain a non-differentiable term. Our hypotheses are more general than Zabrejko and Nguen's [10], in this case.
Sufficient Conditions for Local Optimality in Multidimensional Control Problems with State Restrictions
Authors: Pickenhain Sabine , Tammer Klaus
Published: December 2016

New sufficient conditions for strong local minimality in multidimensional control pro-blems with state restrictions are presented. The results are obtained by applying duality theory and second order sufficient optimality conditions for optimization problems with functions having a locally Lipschitzian gradient mapping.
A Fixed Point Theorem for Non-Expansive Mappings on Star-Shaped Domains
Authors: Schu Jürgen
Published: December 2016

It is shown that some modification of the fixed point theorem of Browder, Gohde and Kirk remains valid on star-shaped domains as well. Additionally, we will give an iteration scheme for the approximation of some fixed point of the mapping under consideration. Finally, in connection with the result above, two characterizations of inner product spaces will be obtained.
Exposed Operators in $\mathcal B (C(X), C(Y))$
Authors: Grząślewicz Ryszard
Published: December 2016

A point

q_0

in a convex set

Q

is exposed if there exists a bounded linear functional

\xi

such that

\xi(q_0)

for all

q \in Q\ \{q_0\}

. Characterizations of exposed points of the unit ball and the positive part of the unit ball of

\mathcal B (C(X), C(Y))

are given. We describe the set of strongly exposed points. We also consider exposed operators on

L^\infty

- and

L^1

-spaces.
Regularity of Solutions of the Weak Floating Beam Problem
Authors: Doppel Karl , Schomburg Bernd
Published: December 2016

This paper describes a weak formulation of the time-harmonic two-dimensional floating beam problem in a fluid domain of finite depth. This is a simplified version of the floating body problem which was investigated by F. John in his classic papers [9,10] in 1950. Contrary to the integral equation approach of F. John we use a Hilbert-space method based on the investigation of a not necessarily positive definite sesquilinear form. Interior as well as boundary regularity are the main concernsof this paper. Especially we show that the solutions lie in a weighted

H^2

-space in the neighbourhood of the endpoints of the beam.
Weighted $L^P$-Estimates for Pseudo-Differential Operators with Non-Regular Symbols
Authors: Marschall Jürgen
Published: December 2016

Estimates for pseudo-differential operators with non-regular double symbols

a(x,y,\xi)

are proved in weighted

L^p

- and Sobolev spaces. The results presented here are generalizations of those by C. Bourdaud [4].
Semianalytic Discretization of Weakly Nonlinear Boundary Value Problems with Variable Coefficients
Authors: Grossmann Christian
Published: December 2016

A new technique for the iterative treatment of two-point boundary value problems by means of piecewise simplified operators is investigated. Unlike in previous approaches the main part of the differential operator is also used in the projected right hand side of the recursion of the Iteration process. We show the iterates recursively to be piecewise smooth enough to prove the contractivity of the mapping of the iteration. We state the local convergence of the discretization with respect to the step size of the underlying grid.
Über den $p$-Modul eines mehrfach zusammenhängenden Vierecks und quasikonforme Abbildungen
Authors: Kirsch Siegfried
Published: December 2016

Two principles of variation to characterize univalent

p^{–1}

-analytical functions, which map a manifold connected quatrilateral on a certain rectangle with horizontal slits, are derived. Several connections between these quasiconformal mappings for various

p

are concluded.
Non-Existence of Complex and Purely Imaginary Zeros of a Transcendental Equation Involving Bessel Functions
Authors: Kokologiannaki C.G. , Siafarikas P.D.
Published: December 2016

Some results concerning the non-existence of complex and purely imaginary zeros of the transcendental equation

F(z)J_v(z)+G(z)J'_v(z) = 0

are given, where

J_v(z)

is the Bessel function of first kind and order

v

(in general complex),

J'_v(z)

is the derivative of

J_v(z)

, and

F(z)

,

G(z)

are analytic functions. The obtained results improve and generalize previously known ones.
Zum Bernsteinschen Satz für Quasiminimalflächen
Authors: Hoy Erich
Published: December 2016

A generalization of Bernstein’s theorem is proved for (parametric) surfaces with a quasi-conformal Gauss map.
On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators
Authors: Rolewicz S. , Wen Song
Published: December 2016

Sufficient conditions of lower semicontinuity and metric upper semicontinuity of Nemytskii set-valued operators

N_F

generated by a set-valued function

F: \Omega \times X \to 2^Y

, where

X

and

Y

are Orlicz-Musielak

F

-spaces are presented.
The Hausdorff Nearest Circle to a Triangle
Authors: Ginchev I.
Published: December 2016

The problem of finding the nearest in the Hausdorif metrics circle to a non-empty convex compact set

T

in the plane is considered. It is shown that this problem is equivalent to the problem of the Chebyshevian best approximation of

2\pi

-periodic functions by trigonometric polynomials of first order and in consequence the Hausdorif nearest circle is unique. The case when

T

is a triangle is solved completely. It is shown then that the center of the nearest circle is the intersection point of the midline of the longest side and the bisectrix against the shortest side of the triangle.
On Two Parameter Identification Problems Arising from a Special Form of Computerized Tomography
Authors: Hausding R.
Published: December 2016

The paper investigates a linear and a nonlinear operator problem for the identi-fication of two parameter functions occurring in the Albedo operator in a special model of computerized tomography. It is shown that the linear inverse operator problem turns out to be well-posed, whereas the nonlinear problem under consideration becomes ill-posed.
The Carathéodory-Féjer Interpolation Problem in Hardy Classes
Authors: Alpay Daniel , Bolotnikov Vladimir
Published: December 2016

In this paper we study the Carathéodory-Féjer interpolation problem in the Hardy spaces

mathbb H_2

of the unit disk. The results are presented within a framework which slightly generalizes the

mathbb H_2

spaces, and allow to consider in a unified way Hardy spaces of the unit disk and of a half plane.
Uniqueness Result for the Generalized Entropy Solutions to the Cauchy Problem for First-Order Partial Differential-Functional Equations
Authors: Kamont Zdzisław , Leszczyński H.
Published: December 2016

We prove a theorem on differential-functional inequalities in the Carathéodory sense. The proof is based on the faèt that we can solve a linear differential equation with first-order partial derivatives. We use also an integral Volterra-type inequality. We obtain a theorem on the uniqueness of generalized entropy solutions to the initial-value problem for non-linear partial differentialfunctional equations of the first order.
On a Representation of the General Solution of a Functional-Differential Equation
Authors: Drakhlin M. , Litsyn E.
Published: December 2016

The general solution of a functional-differential equation with non-Volterra operator is found by its reducing to an infinite system. An integral representation of the general solution of this system is presented. Properties of the kernel of this system are studied.
On the Existence of Holomorphic Functions Having Prescribed Asymptotic Expansions
Authors: Valdivia M. , Schmets Jean
Published: December 2016

A generalization of some results of T. Carleman in [1] is developped. The practical form of it states that if the non-empty subset

D

of the boundary

\partial \Omega

of a domain

\Omega

of

C

has no accumulation point and if the connected component in

\partial \Omega

of every is

u \in D

has more than one point, then

D

is regularly asymptotic for

\Omega

, i.e. for every family {

c_{u,n}: u \in D, n \in \mathbb N_0

} of complex numbers, there is a holomorphic function

f

on

\Omega

which at every

u \in D

has

\sum^{\infty}_{n=0} c_{u,n} (z–u)^n

as asymptotic expansion at

u

.
Spectral Estimates for Compact Hyperbolic Space Forms and the Selberg Zeta Function for $p$-Spectra II
Authors: Schuster Reinhard
Published: December 2016

We prove an asymptotic estimation for the spectrum of the Laplace operator for compact hyperbolic space forms. Thereby we use estimations of the Selberg zeta function by methods of analytic number theory.
A Schur Type Analysis of the Minimal Unitary Hubert Space Extensions of a Krein Space Isometry whose Defect Subspaces are Hubert Spaces
Authors: Dijksma Aad , Marcantognini S.A.M. , de Snoo H.S.V.
Published: December 2016

We consider a Krein space isometry whose defect subspaces are Hilbert spaces and we show that its minimal unitary Hilbert space extensions are related to one-step isometric Hilbert space extensions and Schur parameters. These unitary extensions give rise to moments and scattering matrices defined on a scale subspace. By means of these notions we solve the labeling problem for the contractive intertwining liftings in the commutant lifting theorem for Krein space contractions.
Asymptotic Formulas for Small Sessile Drops
Authors: Miersemann Erich
Published: December 2016

We will prove asymptotic foriiulas for the wetted disk of a drop with small volume resting on a horizontal plane which is in a vertical gravity field. These formulas are general-izations of results of Finn. There is a non-uniformity in the asymptotic behaviour depending on whether the boundary contact angle is near

\pi

or not. If the contact angle is different from

\pi

we get a complete asymptotic expansion of the wetted disk in powers of the volume. These results are consequences of the strong non-linearity of the problem.
Modular Convergence Theorems in Fractional Musielak-Orlicz Spaces
Authors: Bardaro Carlo , Vinti Gianluca
Published: December 2016

Here we study modular convergence in fractional Musielak-Orlicz spaces for se-quences of moment type operators and convolution operators. To obtain the requested convergence properties we give some estimates for the involved operators, using a growth condition on the convex function

\varphi

generating the space

L^{\varphi, \alpha}

. Then the convergence theorems are obtained using a density theorem of Musielak type. For the convolution operators we also consider the line group setting.
On Spectral Factorization and Generalized Nehari Problems
Authors: Fritzsche B. , Kirstein B.
Published: December 2016

The paper is aimed to show that spectral. factorization can be reformulated as an appropriately constructed Generalized Nehari Problem for matrix-valued Carathéodory functions.
Generalized Solutions to Conservation Laws
Authors: Oberguggenberger Michael , Wang Ya-Guang
Published: December 2016

this paper we study generalized solutions in the sense of Colombeau to the Cauchy problem for hyperbolic conservation laws and their parabolic approximations. We obtain existence and uniqueness results both in the scaler case and for systems. The relation of the generalized solution to the classical solution, when the latter exists, is established. An application of our results is to the

p

-system of gas dynamics with artificial viscosity.
On the $K$-Theory Groups of Certain Crossed Product $C*$-A1gebras
Authors: Paolucci A.
Published: December 2016

Given

\alpha, \beta

two irrational numbers in (0,1) we define an analogue of the irrational rotation

C*

-algebra on

T^2 = S^1 \times S^1

. Hence we compute explicitly the

K

-theory groups associated to that crossed product

C*

-algebra.
A Nonlinear Neumann-Type Problem of a System of High Order Hyperbolic Integro-Differential Equations
Authors: Borzymowski A.
Published: December 2016

The paper concerns a nonlinear Neumann-type boundary value problem for a system of hyperbolic integro-differential equations of order 2pwith two independent variables. The problem is reduced to a system of integro-functional equations and hence the existence and uniqueness of a local solution is proved by using the Banach fixed point theorem.
Necessary Optimality Conditions for Non-Smooth Minimax Problems
Authors: Luu D.V. , Oettli W.
Published: December 2016

Under a suitable assumption necessary optimality conditions are derived for non-smooth minimax problems involving infinitely many functions. The results obtained here generalize some necessary optimality conditions for mathematical programming and minimax problems.
Quadrature and Collocation Methods for the Double Layer Potential on Polygons
Authors: Costabel Martin , Ervin V.J. , Stephan Ernst Peter
Published: December 2016

This paper is concerned with approximation methods for Neumanns integral equation on curves with corners. Necessary and sufficient conditions for the stability of the piecewise constant c-collocation and for the quadrature method, using the rectangular rule, are given.
On the Solvability of Nonlinear Singular Integral Equations
Authors: Junghanns Peter , Weber U.
Published: December 2016

Three classes of nonlinear singular integral equations of Cauchy type occuring in the treatment of certain free boundary value problems are investigated. Existence of the solution is proved under weaker conditions than in [13] using the technique which was created in [12, 13] and is based on the application of Schauder’s fixed point theorem.
Generalized Abel Integral Operators on Spaces with Rooney Weights
Authors: Penzel F. , Spitkovsky Ilya
Published: December 2016

We prove a Fredholm criterion for generalized Abel integral equations on the half-line on weighted

L_p

paces for a class of weight functions introduced by Rooney. We obtain the equivalence of these integral equations to singular integral equations.
The Treatment of Window Problems by Transform Methods
Authors: Sprössig Wolfgang , Venturino E.K.
Published: December 2016

The aim of this paper is to consider a special class of mixed boundary value problems, the so-called window problems. Using suitable transforms we derive singular integral equations. These methods lend themselves to discover how singularities arise. They show and allow a close connection between analytical methods and numerical analysis.
The Sampling Theorem for Functions with Limited Multi-Band Spectrum I
Authors: Bezuglaya L. , Katsnelson Victor
Published: December 2016

In this paper functions

f

belonging to

L^2(\mathbb R)

are considered which spectrum is contained in a ’multi-band’ set

E

, i.e. in a subset of the real axis which is the union of finite many intervals. For such functions a generalization of the Whittaker-Kotelnikov-Shannon sampling formula is given. The considered problem is also related to Riesz bases of exponentials in

L^2(E)

. In the first part of this work we consider sets

E

consisting of regularly positioned intervals of the same length.
On the Largest Minorants Associated with a Matrix-Valued Caratheodory Function and Spectral Factorization
Authors: Fritzsche B. , Kirstein B.
Published: December 2016

We will study various aspects of largest minorants associated with matrix-valued Carathéodory functions in the context of spectral factorization. The first main aim is to derive explicit interrelations between the largest minorants associated with a Cayley-linked pair consisting of a matrtxvalued Carathéodory function and a matrix-valued Schur function. The second goal is to derive corresponding factorizaions for the normalized limit semi-radius functions associated with a matrix-valued Carathéodory function having finite entropy.
The Optimal Runner: a Control Problem with Phase Constraint
Authors: Hamburger Christoph
Published: December 2016

Assuming a simple biophysical model and using the Pontryagin maximum principle, we find the optimal strategy to run a race.
About Integral Equivalence between Linear and Nonlinear Operator Impulsive Differential Equations in a Banach Space
Authors: Kostadinov S.I. , Schott Dieter
Published: December 2016

After an introduction into the problems of impulsive operator differential equations sufficient conditions for the integral and the asymptotic equivalence between linear and nonlinear equations of this kind are presented. These conditions guarantee that for bounded solutions of the linear equation there are also bounded solutions of the corresponding nonlinear equation.
On the Solution of an Ill-Posed Non-Linear Fredholm Integral Equation Connected with an Inverse Problem of Thin Film Optics
Authors: Schachtzabel H. , Braunss H.-A. , Hofmann B.
Published: December 2016

We carry out a theoretical analysis of the simultaneous identification of geometrical thick-ness and refractive index profile for inhomogeneous single layer systems from indirect mea-surements. The problem leads to a non-linear integral equation of the first kind with smooth kernel. We present a uniqueness theorem for monotone solutions referring to the Hausdorff moment problem.
On the Weyl Matrix Balls Associated with Nondegenerate Matrix-Valued Carathéodory Functions
Authors: Fritzsche B. , Kirstein B.
Published: December 2016

The paper is aimed at a study of the limit behaviour of the normalized semi-radii of the Weyl matrix balls associated with a nondegenerate matrix-valued Carathodory function. It turns out that the ranks of the limits of these normalized semi-radii are constant within the unit disc. This enables us a new classification of matrix-valued Carathéodory functions.
Two-Sided Nevanlinna-Pick Interpolation for a Class of Matrix-Valued Functions
Authors: Alpay Daniel , Bolotnikov Vladimir
Published: December 2016

Families of Matrix-valued analytic functions

W(\rho, P)

depending on two parameters

\rho

and

P

are introduced. These include as special cases the Schur and Carathéodory functions, as well as classes of functions studied by the authors in [1] and by D. Alpay and H. Dym in [6]. A two sided Nevanlinna-Pick interpolation problem is defined and solved in

W(\rho, P)

, using the fundamental matrix inequality method.
$\lambda$-Convergence and $\lambda$-Conullity
Authors: Beekmann W. , Chang S.-C.
Published: December 2016

The notions of

\lambda

-convergence and

\lambda

-summabihty was first defined a couple of decades ago by C. Kangro and has been further studied by Kangro and his school at Tartu University. In analogy to the usual notions of coregularity and conullity of conservative (matrix-) methods, he has introduced, inter alia,

\lambda

-coregularity and

\lambda

-conullity for

\lambda

-conservative matrices. Here we compare

\lambda

-conullity with the general notion of conullity of an

FK

-space with respect to a subspace which was introduced in [2]. To this end we show that the space

c^{\lambda}

of all

\lambda

-convergent sequences is of type

c_D

, a summability domain. As a consequence, we prove that the space of all sequences that are

\lambda

-summable by a given matrix

A

is a summability domain

c_E

for some matrix

E

.
On the Existence of Optimal Solutions for Time-Optimal Semilinear Parabolic Boundary Control Problems
Authors: Eppler K.
Published: December 2016

A class of time-optimal semilinear parabolic control problems with state constraints and a generalized terminal condition is considered. For the derivation of solvability results, which is the main aim of the paper, we present two methods. The first method works with the complete continuity of the state mapping, whereas in the second one theorems about the separation of convex sets and measurable selection are applied for overcoming the complete continuity of the state mapping. The connection with a family of associated fixed-time problems is very helpful in both cases. This connection between time-optimal control problems and related problems with fixed time are also interesting in their own right, especially they can be used to get optimality conditions for the original time-optimal control problem.
Strong Approximation of Spherical Functions by Cesàro Means
Authors: Li Luoqing
Published: December 2016

The paper deals with the approximation of spherical functions by Cesàro means. The strong approxi-mation order of the Cesàro means on sets of full measure is established.
Oscillatory Solutions of a System of $n$ Nonlinear Integro-Differential Equations of Second Order with Deviating Arguments
Authors: Foltyńska Izabella
Published: December 2016

Some conditions are established under which solutions of a system of nonlinear integro-differential equations are oscillatory.
Spectral and Polar Decomposition in AW*-Algebras
Authors: Frank Michael
Published: December 2016

We show the possibility and the uniqueness of spectral and polar decomposition of (normal) elements of arbitrary AW*-algebras.
A Study on the Geometry of Pairs of Positive linear Forms, Algebraic Transition Probability and Geometrical Phase over Non - Commutative Operator Algebras (I)
Authors: Alberti Peter M.
Published: December 2016

Some aspects in the geometry of pairs of positive linear forms on unital

C*

-algebras are considered. Especially, the geometrical relations among the vector representatives of the forms of such a pair within a representation, where both forms can be realized as vectors simultaneously, are studied and discussed in detail. The results obtained in this part extend early results of H. Araki and are intimately related to such functors like the Bures distance and the algebraic transition probability considered by A. Uhlmann and others. The results will be used to discuss and to investigate sonic extensions of geometrical concepts, which have been found to be of interest recently in Mathematical Physics in context of the problems of the so-called geometrical phase.
On the Dirichlet and the Riemann-Hilbert Problem on Möbius Strips
Authors: Schüffler Karlheinz
Published: December 2016

In this paper we give 1) a description of harmonic functions on Möbius strips as a manifold modelled on a subspace of the (Sobolev) space of holomorphic functions on ring domains, 2) a functional-analytic theory for the Laplacian, e.g., the Dirichlet boundary value problem and 3) the Fredholm theory for the Riemann-Hubert operator.
Approximate Solution of Bisingular Integro-Differential Equations
Authors: Didenko Victor D.
Published: December 2016

This paper gives necessary and sufficient conditions for the applicability of collocation and Galerkin methods to bisingular integro-differential equations with continuous coefficients. They are obtained by a local principle for paraalgebras.
On Classes of Stieltjes Type Operator-Valued Functions with Gaps
Authors: Tsekanovskii Vladislavi Eduardovic
Published: December 2016

We introduce and investigate classes of operator-valued functions with gaps, which can be realized as fractional linear transformations of operator-valued transfer functions of conser-vative Scattering systems.
Axiomatische Bifurkationstheorie
Authors: Ackermann Stefan
Published: December 2016

A system of axioms for a class of continuous mappings in Banach spaces and their attached degree is given. The axioms are easy to check. If they are valid, local and global bifurcation results of Krasnoselski–Rabinowitz type can be obtained by simple means.
On the Optimal Convergence
Authors: Stojanović Mirjana
Published: December 2016

Two classes of second order optimally convergent 3-point difference schemes for singularly perturbed self-adjoint problem are presented. They achieve

0(min(h^2,\epsilon))

point-wise error estimates and

0(h^2)

global ones.
On a Nonlinear Binomial Equation of Third Order
Authors: Greguš M.
Published: December 2016

A necessary and sufficient condition for the solution of equation

u''' + p(t)u^{\alpha} = 0 (\alpha > 0

an odd integer,

p ≤ 0

on

(a,\infty))

to be oscillatory and some sufficient conditions for the solution in the cases

p ≤ 0

and

p ≥ 0

to be oscillatory or non-oscillatory are derived. For this methods and results of the theory of linear differential equations of the third order are effectively used.
Convergent Solutions of Ordinary and Functional-Differential Pendulum-Like Equations
Authors: Leonov G.A. , Reitmann Volker
Published: December 2016

Sufficient frequency- domain conditions for complete stability of ordinary and functional-differential equations on the cylinder are given. For a class of phase-controlled systems, periodic Lyapunov functions and Popov functionals are constructed.
On Certain Singular Ordinary Differential Equations of the First Order in Banach Spaces
Authors: Ugowski Henryk
Published: December 2016

We consider in the interval

(0,T)

certain linear and nonlinear singular ordinary differential equations of the first order, where the unknown function takes values in a Banach space and 0 is a singular point. Under suitable assumptions we prove that for each of these equations there exists a unique solution of the class

C^1

in

(0,T)

which is continuous at 0 or bounded in a right hand neighbourhood of 0. Moreover, in the linear case there is introduced another version of assumptions which guarantees that every solution of the considered linear equations 1105 the properties stated above.
Some Classes of Nonlinear Mixed Volterra and Singular Integral Equations
Authors: von Wolfersdorf Lothar
Published: December 2016

Existence theorems for some classes of nonlinear mixed Volterra and singular integral or integro-differential equations are proved applying methods of monotone operator theory and Schauder’s fixed point theorem, respectively. Moreover, uniqueness theorems for the solution are given.
An example of a gas dynamics dissipative system with reverse time direction (in Russian)
Authors: Zmitrenko Nikolai V.
Published: December 2016

For the system of spatially one-dimensional equations of gas dynamics with temperature effects we give and discuss pairs of similarity solutions which transform into each other by returning direction of time and velocity.
Asymptotische Darstellung verallgemeinerter Fourierintegrale IV
Authors: Riedel Roland
Published: December 2016

The asymptotic behavior of Fourier integrals of the form

\int^b_a K(t-a) e^{iH(t,s)}dt,

where the parameter

s

tends to a critical point

s_0

, is considered. It is provided that

H(i, s)

has at

t = a

a stationary point of (fractional) order

\beta > 0

, and the Fourier transform of the function

K(\tau)

is given in closed form. Under certain conditions it is demonstrated that it’s possible to obtain an asymptotical expansion of this integral by the Fourier transform of the function

K

.
Properties of solutions unbounded in time of diffusion equations (in Russian)
Authors: Mikhailov A.P.
Published: December 2016

We survey results on unbounded solutions of quasilinear parabolic equations, obtained by the team directed by A. A. Samarskij and S. P. Kurdjumov. Considered are similarity solutions and comparison theorems. The investigated solutions exhibit a number of interesting and, for linear diffusion equations, unusual properties.
Mixed contact problems in plane elasticity II
Authors: Maul Johannes
Published: December 2016

The paper continues the considerations in the previous one [2] of the author. Using N. P. Vekua’s theory, the index of the singular integral equation system with discontinuous coefficients obtained in [2] is calculated. By establishing some corollaries from the theory of Vekua, the calculations can be simplified. Furthermore, the existence of a *-regular solution of the contact problem is proved, provided that the necessary physical conditions are fulfilled. The existence of

\varepsilon^*

- or

\varepsilon

-regular solutions requires supplementary conditions, whose number depends on the index of the singular integral equation system.
The first boundary value problem for classical equations of mathematical physics in domains with piecewise smooth boundaries. II (in Russian)
Authors: Maz'ya Vladimir G. , Plamenevskii Boris A.
Published: December 2016

This is a continuation of the author’s paper in ZAA 4 (1983) devoted to the Dirichiet problem for the linear Stokes system in a piece-vise smooth domain in

\mathbb R^3

. Here the estimates for the Green tensor and Miranda-Agmon maximum principle are proved. Similar results are obtained for Lamé’s equations. The existence of a strong solution of the Dirichlet problem for the Navier-Stokes equations is proved along with some estimates for this solution.
Some estimates of the norms of derivatives of holomorphic functions, and their application to initial value problems (in Russian)
Authors: Mandzhavidze G.F. , Tutschke Wolfgang
Published: December 2016

The paper deals with the solution of initial value problems in scales of Banach spaces of generalized analytic functions. To this end a priori estimates of holomorphic functions are given, which allow to solve the initial value problems mentioned above in

L_p

-spaces.
Flächensätze für quasikonform fortsetzbare Abbildungen
Authors: Hoy Erich
Published: December 2016

In this paper an extension of the area principle to conformal mappings with a

Q_j

-quasiconformal continuation into the component

\mathcal B_j

of the complement of a region

\mathcal G

is given. A generalized area-theorem is proved for these mappings. The inequalities are sharp; the extrernal functions are connected with the solution of the equation

w_{\bar z} = \mu (z) \bar {w_z}

with

\mu (z)

being a piecewise constant function. These area theorems are applied to the estimations of the ranges of the coefficient for

z^{-1}

of the Laurent expansion in the neighbourhood of infinity, the Schwarzian derivative and Golusin’s functional. Finally the possibility of an extension to conformal mappings with a quasiconformal continuation is shown. For Grunsky’s regions these inequalities are asymptotically sharp, if the restriction of the dilatation converges to a constant.
Über das Reduktionsverfahren für diskrete Wiener-Hopf-Gleichungen mit unstetigem Symbol
Authors: Böttcher Albrecht , Silbermann Bernd
Published: December 2016

The results of the paper complete and improve some hitherto existing results about the reduction method for discrete Wiener-Hopf equations with discontinuous symbol and, on the other hand, illustrate some new aspects of this set of problems. Thus, it is proved that if the reduction method in

l^p(1 \leq p < \infty)

is applicable to the Toeplitz operators

T(a_r), a_r \in L^{\infty} (r = 1, \dots, R)

and if

a_1, \dots, a_R

have no common singularities (discontinuities), then it is applicable to

T(a_1 \dots a_R)

. Furthermore, there is proved that for a large class of piecewise continuous symbols the reduction method in

L^p

is applicable to

T(a)

if and only if both

T(a)

and

T(\bar {a})

are invertible.
Fredholmness and finite section method for Toeplitz operators in $l^p (Z_+ \times Z_+)$ with piecewise continuous symbols I
Authors: Böttcher Albrecht
Published: December 2016

We consider discrete Toeplitz operators on the space

l^p

over the quarter-plane for a class of piecewise continuous symbols. This class of symbols is usually denoted by

PC_p(\mathbb T^2)

and it contains, in particular, all finite sums of the form

\Sigma a_i (\xi) b_i (\eta), (\xi, \eta) \in \mathbb T^2

, where

a_i

and

b_i

are of bounded variation. Necessary and sufficient conditions for Fredholmness of such operators and for the applicability of the finite section method to them are obtained. The present part I contains the necessary definitions, the formulation of the main results, and the proofs of the necessity of the given conditions. Their sufficiency will be proved in part II of this work.
Eine Verallgemeinerung der Lambert-Transformation I
Authors: Glaeske Hans-Jürgen , Stallknecht K.
Published: December 2016

In this paper a generalized Lambert-transformation is investigated, which includes all the well known Lambert-series and Lambert-transformations as special cases. We prove a convergence theorem and by suitable choice of the kernel of the transformation the results are specialized to the well known cases.
Necessary optimality conditions for systems described by nonlinear elliptic equations. II (in Russian)
Authors: Raitums Uldis
Published: December 2016

This paper considers necessary conditions of optimality for systems governed by second elliptic differential equations in divergence form with nonlinear terms. The set of admissible controls is not assumed to be convex, control appears in all coefficients of operator and the case with integral constraints is considered.
Personal Geographies: Poetic Lineage of American Poets Elizabeth Coatsworth and Kate Barnes
Authors: Taylor Ellen Maureen
Published: December 2016

This paper examines the relationship between two 20th-century American poets, Elizabeth Coatsworth and her daughter, Kate Barnes. Both women mined their physical and personal geographies to create their work; both labored in the shadows of domineering literary husbands. Elizabeth’s early poetry is economical in language, following literary conventions shaped by Eastern poets and Imagists of her era. Kate’s work echoes her mother’s painterly eye, yet is informed by the feminist poetry of her generation. Their dynamic relationship as mother and daughter, both struggling with service to the prevailing Western patriarchy, duties of domestication and docility, also inform their writing. This paper draws from Coatsworth’s poems, essays, and memoir, and Barnes’ poems, interviews, and epistolary archives, which shed light on her relationship with her renowned mother.
Attitudes towards Euro-English in a European Union Institution
Authors: Balič Tina
Published: December 2016

This study deals with the attitudinal aspect of Euro-English, denoting a specific form of the English language that is frequently used within the institutions of the European Union. A questionnaire survey was conducted among 285 representatives who work for one of these institutions in Brussels. The respondents were asked to rate several deviations from Standard English, identified in a corpus-based analysis of EU texts, as either ‘acceptable’ or ‘unacceptable’ English usage. The findings reveal that the high acceptability rates of the proposed features among the non-native English-speaking respondents were mainly related to their proficiency in English and/or mother tongue interference. Moreover, since native speakers of English also accepted most of the proposed deviations, it follows that the participants did not seem to be aware of non-standardness in the test sentences. Euro-English must be regarded as EU jargon due to its technical, administrative or legal nature and not as a separate non-standard form of English for EU institutional settings.
Selected Poems
Authors: Mozetič Uroš
Published: December 2016

The selection of English translations of Mozetič' poetry includes poems from the cycles Gallery of Discarded Things, Lošinj, The Cloud of Knowing, De-dications: Pax de deux, and The Way of the Cross for the Blind. Translations by Nada Grošelj and Uroš Mozetič.
Size-dependent chemical ageing of oleic acid aerosol under dry and humidified conditions
Authors: Al-Kindi Suad S. , Pope Francis D. , Beddows David C. , Bloss William J. , Harrison Roy M.
Published: December 2016

Abstract. A chemical reaction chamber system has been developed for the processing of oleic acid aerosol particles with ozone under two relative humidity conditions: dry and humidified to 65 %. The apparatus consists of an aerosol flow tube, in which the ozonolysis occurs, coupled to a scanning mobility particle sizer (SMPS) and an aerosol time-of-flight mass spectrometer (ATOFMS) which measure the evolving particle size and composition. Under both relative humidity conditions, ozonolysis results in a significant decrease in particle size and mass which is consistent with the formation of volatile products that partition from the particle to the gas phase. Mass spectra derived from the ATOFMS reveal the presence of the typically observed reaction products: azelaic acid, nonanal, oxononanoic acid and nonanoic acid, as well as a range of higher molecular weight products deriving from the reactions of reaction intermediates with oleic acid and its oxidation products. These include octanoic acid and 9- and 10-oxooctadecanoic acid, as well as products of considerably higher molecular weight. Quantitative evaluation of product yields with the ATOFMS shows a marked dependence upon both particle size association (from 0.3 to 2.1 µm diameter) and relative humidity. Under both relative humidity conditions, the percentage residual of oleic acid increases with increasing particle size and the main lower molecular weight products are nonanal and oxononanoic acid. Under dry conditions, the percentage of higher molecular weight products increases with increasing particle size due to the poorer internal mixing of the larger particles. Under humidified conditions, the percentage of unreacted oleic acid is greater, except in the smallest particle fraction, with little formation of high molecular weight products relative to the dry particles. It is postulated that water reacts with reactive intermediates, competing with the processes which produce high molecular weight products. Whilst the oleic acid model aerosol system is of limited relevance to complex internally mixed atmospheric aerosol, the generic findings presented in this paper give useful insights into the nature of heterogeneous chemical processes.
The microphysics of clouds over the Antarctic Peninsula – Part 1: Observations
Authors: Lachlan-Cope Tom , Listowski Constantino , O'Shea Sebastian
Published: December 2016

Abstract. Observations of clouds over the Antarctic Peninsula during summer 2010 and 2011 are presented here. The peninsula is up to 2500 m high and acts as a barrier to weather systems approaching from the Pacific sector of the Southern Ocean. Observations of the number of ice and liquid particles as well as the ice water content and liquid water content in the clouds from both sides of the peninsula and from both years were compared. In 2011 there were significantly more water drops and ice crystals, particularly in the east, where there were approximately twice the number of drops and ice crystals in 2011.Ice crystals observations as compared to ice nuclei parameterizations suggest that secondary ice multiplication at temperatures around −5 °C is important for ice crystal formation on both sides of the peninsula below 2000 m. Also, back trajectories have shown that in 2011 the air masses over the peninsula were more likely to have passed close to the surface over the sea ice in the Weddell Sea. This suggests that the sea-ice-covered Weddell Sea can act as a source of both cloud condensation nuclei and ice-nucleating particles.
Near-road sampling of PM2.5, BC, and fine particle chemical components in Kathmandu Valley, Nepal
Authors: Shakya Kabindra M. , Rupakheti Maheswar , Shahi Anima , Maskey Rejina , Pradhan Bidya , Panday Arnico , Puppala Siva P. , Lawrence Mark , Peltier Richard E.
Published: December 2016

Abstract. Semi continuous PM2.5 and BC concentrations, and 24-hour integrated PM2.5 filter samples were collected near roadways in the Kathmandu Valley, Nepal. Instruments were carried by a group of volunteer traffic police officers in the vicinity of six major roadway intersections in the Kathmandu Valley across two sampling periods in 2014. Daily PM2.5 filter samples were analyzed for water soluble inorganic ions, elemental carbon (EC) and organic carbon (OC), and 24 elements. Mean PM2.5 and BC concentrations were 124.76 μg m−3 and 16.74 μgC m−3 during the drier spring sampling period, and 45.92 μg m−3 and 13.46 μgC m−3 during monsoonal sampling. Despite the lower monsoonal PM2.5 concentrations, BC and several elements were not significantly lower during the monsoon, which indicates an important contribution of vehicle-related emissions throughout both seasons in this region. During the monsoon, there was an enhanced contribution of chemical species (elements and water soluble inorganic ions) except secondary inorganic ions, and BC to PM2.5 (crustal elements: 19 %; heavy metals: 5 %; BC: 39 %) compared to those in spring (crustal elements: 9 %; heavy metals: 1 %; BC: 18 %). Silica, calcium, aluminum, and iron were the most abundant elements during both spring and the monsoon, with the total concentrations of 12.13 and 8.85 μg m−3, respectively. PM2.5 and BC showed less spatial variation compared to that for individual chemical species.
Challenges in modelling isoprene and monoterpene emission dynamics of Arctic plants: a case study from a subarctic tundra heath
Authors: Tang Jing , Schurgers Guy , Valolahti Hanna , Faubert Patrick , Tiiva Päivi , Michelsen Anders , Rinnan Riikka
Published: December 2016

Abstract. The Arctic is warming at twice the global average speed, and the warming-induced increases in biogenic volatile organic compounds (BVOCs) emissions from Arctic plants are expected to be drastic. The current global models' estimations of minimal BVOC emissions from the Arctic are based on very few observations and have been challenged increasingly by field data. This study applied a dynamic ecosystem model, LPJ-GUESS, as a platform to investigate short-term and long-term BVOC emission responses to Arctic climate warming. Field observations in a subarctic tundra heath with long-term (13-year) warming treatments were extensively used for parameterizing and evaluating BVOC-related processes (photosynthesis, emission responses to temperature and vegetation composition). We propose an adjusted temperature (T) response curve for Arctic plants with much stronger T sensitivity than the commonly used algorithms for large-scale modelling. The simulated emission responses to 2 °C warming between the adjusted and original T response curves were evaluated against the observed warming responses (WRs) at short-term scales. Moreover, the model responses to warming by 4 and 8 °C were also investigated as a sensitivity test. The model showed reasonable agreement to the observed vegetation CO2 fluxes in the main growing season as well as day-to-day variability of isoprene and monoterpene emissions. The observed relatively high WRs were better captured by the adjusted T response curve than by the common one. During 1999–2012, the modelled annual mean isoprene and monoterpene emissions were 20 and 8 mg C m−2 yr−1, with an increase by 55 and 57 % for 2 °C summertime warming, respectively. Warming by 4 and 8 °C for the same period further elevated isoprene emission for all years, but the impacts on monoterpene emissions levelled off during the last few years. At hour-day scale, the WRs seem to be strongly impacted by canopy air T, while at the day–year scale, the WRs are a combined effect of plant functional type (PFT) dynamics and instantaneous BVOC responses to warming. The identified challenges in estimating Arctic BVOC emissions are (1) correct leaf T estimation, (2) PFT parameterization accounting for plant emission features as well as physiological responses to warming, and (3) representation of long-term vegetation changes in the past and the future.
La imagen de la mujer en las crónicas de Carmen de Burgos Colombine durante la Guerra de Marruecos
Authors: Paíno Ambrosio Adriana , Jiménez Iglesias Lucía , Rodríguez Fidalgo Mª Isabel
Published: December 2016

Traductora, novelista, crítica de arte, defensora de los derechos de la mujer y del divorcio, maestra… son muchas las facetas que caracterizan a Carmen de Burgos, pero si hay una que destaca por encima de las demás es la de periodista. Carmen ha pasado a la historia por ser la primera mujer contratada como redactora en un periódico de España. Frecuentemente conocida bajo el sobrenombre de “Colombine”, esta comunicadora del siglo XX destacó por su ideología liberal que transgredía las convenciones morales de la época. Este trabajo realiza una revisión de la producción periodística de Carmen de Burgos en su etapa como corresponsal de guerra en Marruecos y analiza el tratamiento que la autora realiza sobre la mujer en sus crónicas durante los meses de agosto y septiembre de 1909.
De hoge en bijzondere transactie: een pleidooi voor rechterlijke controle op de afdoening buiten geding
Authors: Vriend K.C.J.
Published: December 2016

De hoge en bijzondere transactie: een pleidooi voor rechterlijke controle op de afdoening buiten geding

In dit artikel zijn de mogelijkheden van rechterlijke controle op de afdoening buiten geding in strafzaken onderzocht. Gepleit wordt voor een aparte raadkamerprocedure voor hoge en bijzondere transacties, waarbij toetsingscriteria werden ontleend aan de jurisprudentie van het EHRM en de internationale straftribunalen. De raadkamer toetst de overeengekomen transactie aan drie criteria. Ten eerste of de verdachte de transactie vrijwillig heeft geaccepteerd. Ten tweede of de verdachte voldoende geïnformeerd is over de procedurele gevolgen en over het bewijs dat tegen hem vergaard is. Ten derde toetst de raadkamer of er prima facie voldoende bewijsmateriaal in het dossier voorhanden is. Een door de raadkamer in het openbaar uitgesproken gemotiveerde beschikking maakt controle mogelijk op het overeenkomen van hoge en bijzondere transacties.
Ontneming in het milieustrafrecht
Authors: Velthuis M.
Published: December 2016

Ontneming in het milieustrafrecht

Het artikel geeft een overzicht van de gepubliceerde jurisprudentie van opgelegde ontnemingsmaatregelen in het milieustrafrecht en de omstandigheden die de rechter bij de berekening van de hoogte van het ontnemingsbedrag betrekt. Uit de besproken uitspraken blijkt dat de uiteindelijk opgelegde ontnemingsmaatregel soms slechts een fractie betreft van het initieel berekende bedrag in de ontnemingsrapportage. De auteur bepleit een kritische beoordeling van de ontnemingsrapportage en het hanteren van realistische uitgangspunten bij de berekening van wederrechtelijk verkregen voordeel in het milieustrafrecht.
De procespositie van de rechtspersoon in het (milieu)strafrechtelijk vooronderzoek
Authors: Hendriks L.E.M.
Published: December 2016

De procespositie van de rechtspersoon in het (milieu)strafrechtelijk vooronderzoek

Het is tijd voor bezinning op de procespositie van de rechtspersoon in het vooronderzoek en op de wijze waarop daar in de praktijk mee wordt omgegaan. De keuzes die een natuurlijk persoon kan maken ter bepaling van zijn proceshouding in het vooronderzoek, blijken in de praktijk niet of nauwelijks voorhanden voor de rechtspersoon. Een goede rechtvaardiging daarvoor is – met in het achterhoofd dat het uitgangspunt dat in het vooronderzoek aan de rechtspersoon dezelfde rechten zouden moeten toekomen als aan de natuurlijke persoon – niet aanwezig. Ter illustratie wordt ingegaan op een voorbeeld uit de milieustrafrechtelijke praktijk.