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Birkhäuser

Current Trends in Analysis and Its Applications

Proceedings of the 9th ISAAC Congress, Kraków 2013

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Vladimir V. Mityushev

    1. Dept. of Computer Sc. & Comp. Methods, Pedagogical University, Kraków, Poland

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    You can also search for this editor in PubMed   Google Scholar

  2. Michael V. Ruzhansky

    1. Imperial College London, London, United Kingdom

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    You can also search for this editor in PubMed   Google Scholar

  • Contains a wide selection of talks in analysis and its applications
  • Presents the mathematics in biomathematics, queueing models, scattering, fractured porous media, geomechanics and many more
  • Results are up-to-date with an outlook on future directions
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Mathematics (TM)

Part of the book sub series: Research Perspectives (RESPERSP)

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Table of contents (93 papers)

  1. Differential Equations: Complex and Functional Analytic Methods, Applications

    1. Optimal Control Problem on Optimization of Resources Productivity

      • Anastasia A. Usova, Alexander M. Tarasyev
      Pages 133-142

  2. Spaces of Differentiable Functions of Several Real Variables and Applications

    1. Front Matter

      Pages 143-143
      Download chapter PDF

    2. The Amalgam Spaces \(W( L^{p( x) },\ell^{\{ p_{n}\} })\) and Boundedness of Hardy–Littlewood Maximal Operators

      • A. Turan Gürkanlı
      Pages 145-161

    3. Spaces of Generalised Smoothness in Summability Problems for Φ-Means of Spectral Decomposition

      • Tsegaye G. Ayele, Mikhail L. Goldman
      Pages 163-169

    4. Viewing the Steklov Eigenvalues of the Laplace Operator as Critical Neumann Eigenvalues

      • Pier Domenico Lamberti, Luigi Provenzano
      Pages 171-178

    5. Generalized Fractional Integrals on Central Morrey Spaces and Generalized σ-Lipschitz Spaces

      • Katsuo Matsuoka
      Pages 179-189

  3. Qualitative Properties of Evolution Models

    1. Front Matter

      Pages 191-191
      Download chapter PDF

    2. Well-Posedness for a Generalized Boussinesq Equation

      • Alessia Ascanelli, Chiara Boiti
      Pages 193-202

    3. Energy Solutions for Nonlinear Klein–Gordon Equations in de Sitter Spacetime

      • Makoto Nakamura
      Pages 203-208

    4. A Benefit from the L ∞ Smallness of Initial Data for the Semilinear Wave Equation with Structural Damping

      • Marcello D’Abbicco
      Pages 209-216

    5. A Regularity Criterion for the Schrödinger Map

      • Jishan Fan, Tohru Ozawa
      Pages 217-223

    6. Microlocal Analysis for Hyperbolic Equations in Einstein-de Sitter Spacetime

      • Anahit Galstian
      Pages 225-232

    7. Nonlinear Evolution Equations with Strong Dissipation and Proliferation

      • Akisato Kubo, Hiroki Hoshino
      Pages 233-241

    8. A Note on Real Powers of Time Differentiation

      • Rainer Picard
      Pages 243-251

    9. A Stationary Approach to the Scattering on Noncompact Star Graphs Containing Finite Rays

      • Kiyoshi Mochizuki, Igor Trooshin
      Pages 253-262

    10. Integral Transform Approach to the Cauchy Problem for the Evolution Equations

      • Karen Yagdjian
      Pages 263-269

  4. Nonlinear PDE and Control Theory

    1. Front Matter

      Pages 271-271
      Download chapter PDF

    2. On Some Solutions of Certain Versions of “Sigma” Model and Some Skyrme-Like Models

      • Łukasz T. Stȩpień
      Pages 273-280

    3. Sharp Sobolev–Strichartz Estimates for the Free Schrödinger Propagator

      • Neal Bez, Chris Jeavons, Nikolaos Pattakos
      Pages 281-288

    4. Nonlinear PDE as Immersions

      • Zhanat Zhunussova
      Pages 289-297
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Keywords

About this book

This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in Kraków, Poland. The papers are devoted to recent results in mathematics, focused on analysis and a wide range of its applications. These include up-to-date findings of the following topics:

- Differential Equations: Complex and Functional Analytic Methods

- Nonlinear PDE

- Qualitative Properties of Evolution Models

- Differential and Difference Equations

- Toeplitz Operators

- Wavelet Theory

- Topological and Geometrical Methods of Analysis

- Queueing Theory and Performance Evaluation of Computer Networks

- Clifford and Quaternion Analysis

- Fixed Point Theory

- M-Frame Constructions

- Spaces of Differentiable Functions of Several Real Variables

Generalized Functions

- Analytic Methods in Complex Geometry

- Topological and Geometrical Methods of Analysis

- Integral Transforms and Reproducing Kernels

- Didactical Approaches to Mathematical Thinking

Their wide applications in biomathematics, mechanics, queueing models, scattering, geomechanics etc. are presented in a concise, but comprehensible way, such that further ramifications and future directions can be immediately seen. 

Editors and Affiliations

  • Dept. of Computer Sc. & Comp. Methods, Pedagogical University, Kraków, Poland

    Vladimir V. Mityushev

  • Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

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