Analysis, Probability, Applications, and Computation [electronic resource] : Proceedings of the 11th ISAAC Congress, Växjö (Sweden) 2017 /
Lindahl, Karl‐Olof.editor.
Lindström, Torsten.editor.
Rodino, Luigi G.editor.
Toft, Joachim.editor.
Wahlberg, Patrik.editor.
This book is a collection of short papers from the 11th International ISAAC Congress 2017 in Växjö, Sweden. The papers, written by the best international experts, are devoted to recent results in mathematics with a focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on the current research in mathematical analysis and its various interdisciplinary applications.
Part I: Applications of Dynamical Systems Theory in Biology -- Analysis of State-Control Optimality System for Invasive Species Management -- Part II: Approximation Theory and Special Functions: Fourth Series -- Extended Multivariable Hypergeometric Functions -- Cubature of Multidimensional Schrödinger Potential Based on Approximate Approximations -- Generalized Kantorovich Operators on Convex Compact Subsets and Their Application to Evolution Problems -- On the Generalized Sylvester Polynomials -- Durrmeyer-Type Bernstein Operators Based on (p, q)-Integers with Two Variables -- Part III: Complex Analysis and Convex Optimization and Their Applications in Wave Physics -- On the Passivity of the Delay-Rational Green's-Function-Based Model for Transmission Lines -- Passive Approximation with High-Order B-Splines -- Part IV: Complex and Functional Analytic Methods for Differential Equations -- Some New Applications of the Theory of Conjugate Differential Forms -- On Maximal Regularity of Differential and Difference Operators -- On the Generalized Liouville Theorem -- Neumann Problem in Polydomains -- Green and Neumann Functions for a Plane Degenerate Circular Domain -- Part V: Special Interest Group: IGCVPT Complex Variables and Potential Theory -- Biharmonic Monogenic Functions and Biharmonic Boundary Value Problems -- Composition Operators of α-Bloch Spaces on Bounded Symmetric Domains in Cn -- Monogenic Functions in Commutative Algebras -- Part VI: Special Interest Group: IGPDE Harmonic Analysis and Partial Differential Equations -- On the Solvability of Tracking Problem with Nonlinearly Distributed Control for the Oscillation Process -- On a Class of Solutions of the Nonlinear Integral Fredholm Equation -- On Conditional Stability of Inverse Scattering Problem on a Lasso-Shaped Graph -- On Solvability of Tracking Problem Under Nonlinear Boundary Control -- Part VII: Nonlinear PDE -- Exponential Mixing and Ergodic Theorems for a Damped NonlinearWave Equation with Space-Time Localised Noise -- Part VIII: P-adic Analysis.-On the Injective Embedding of p-Adic Integers in the Cartesian Product of p Copies of Sets of 2-Adic Integers -- Description of (Fully) Homomorphic Cryptographic Primitives Within the p-Adic Model of Encryption -- Spectrum of Ultrametric Banach Algebras of Strictly Differentiable Functions -- p-Adic Nevanlinna Theory -- On an Operator Theory on a Banach Space of Countable Type over a Hahn Field -- Part IX: Special Interest Group: IGPDE Recent Progress in Evolution Equations -- Conditional Stability for Backward Parabolic Equations with Osgood Coefficients -- Self-similar Asymptotic Profile for a Damped Evolution Equation -- On One Control Problem for Zakharov-Kuznetsov Equation -- The Self-interacting Scalar Field Propagating in FLRW Model of the Contracting Universe -- On the Energy Estimate for Klein-Gordon-Type Equations with Time-Dependent Singular Mass -- Nonlinear Evolution Equations and Their Application to ChemotaxisModels -- A Toy Model of 4D SemilinearWeakly HyperbolicWave Equations -- Gevrey Well-Posedness of the Generalized Goursat-Darboux Problem for a Linear PDE -- On the Regularity of the Semilinear Term on the Cauchy Problem for the Schrödinger Equation.-The Maximum Principle and Sign-Changing Solutions of the Klein-Gordon Equation with the Higgs Potential in the de Sitter Spacetime -- A Remark on the Critical Exponent for the Semilinear Damped Wave Equation on the Half-Space -- Part X: Special Interest Group: IGGF Special Session on Generalized Functions and Applications -- OnMicrolocal Regularity of Generalized Linear Partial Differential Operators.-A Projective Description of Generalized Gelfand-Shilov Spaces of Roumieu Type -- Generalized Solutions and Distributional Shadows for Dirac Equations -- Modeling Abstract Stochastic Problems with White Noise Perturbations -- On Association in Colombeau AlgebrasWithout Asymptotics -- Soliton Dynamics for the General Degasperis-Procesi Equation -- Frame Expansions of Test Functions, Tempered Distributions, and Ultradistributions -- Part XI: Theory and Applications of Boundary-Domain Integral and Pseudodifferential Operators -- Analysis of Boundary-Domain Integral Equations for Variable-Coefficient Mixed BVP in 2D -- Boundary-Domain Integral Equations for Variable Coefficient Dirichlet BVP in 2D Unbounded Domain -- A Boundary-Domain Integral Equation Method for an Elliptic Cauchy Problem with Variable Coefficients -- On Indirect Boundary Integral Equation Methods and Applications -- Part XII: Wavelet Theory and Its Related Topics -- Holomorphic Curves and Linear Systems in Algebraic Manifolds -- Two-Dimensional Directional Lifting Schemes -- GaborWavelet Transformation on the Sphere and Its Related Topic -- Application of Complex ContinuousWavelet Analysis to Auditory Evoked Brain Responses -- Detection of Rotation Angles on Image Separation Problem -- Part XIII: Contributed Talks (Open Session) -- Uniform Boundary Stabilization of the Wave Equation with a Nonlinear Delay Term in the Boundary Conditions.
This book is a collection of short papers from the 11th International ISAAC Congress 2017 in Växjö, Sweden. The papers, written by the best international experts, are devoted to recent results in mathematics with a focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on the current research in mathematical analysis and its various interdisciplinary applications.
Partial differential equations.
Potential theory (Mathematics).
Fourier analysis.
Functions of complex variables.
Partial Differential Equations.
Potential Theory.
Fourier Analysis.
Functions of a Complex Variable.