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Recent Trends in Operator Theory and Partial Differential Equations

The Roland Duduchava Anniversary Volume

  • Vladimir Maz'ya
  • David Natroshvili
  • Eugene Shargorodsky
  • Wolfgang L. Wendland
Book

Part of the Operator Theory: Advances and Applications book series (OT, volume 258)

Table of contents

  1. Front Matter
    Pages i-xviii
    PDF
  2. The Duduchava–Roch Formula
    Albrecht Böttcher
    Pages 1-19
  3. Convolution Type Operators with Symmetry in Bessel Potential Spaces
    Luís Pinheiro de Castro, Frank-Olme Speck
    Pages 21-49
  4. On Symmetries of the Feinberg–Zee Random Hopping Matrix
    Simon N. Chandler-Wilde, Raffael Hagger
    Pages 51-78
  5. Inequalities of Babuška–Aziz and Friedrichs–Velte for Differential Forms
    Martin Costabel
    Pages 79-88
  6. High Frequency Oscillations of First Eigenmodes in Axisymmetric Shells as the Thickness Tends to Zero
    Marie Chaussade-Beaudouin, Monique Dauge, Erwan Faou, Zohar Yosibash
    Pages 89-110
  7. Kernels of Wiener–Hopf plus Hankel Operators with Matching Generating Functions
    Victor D. Didenko, Bernd Silbermann
    Pages 111-127
  8. Spline Galerkin Methods for the Double Layer Potential Equations on Contours with Corners
    Victor D. Didenko, Anh My Vu
    Pages 129-144
  9. C*-algebras of Bergman Type Operators with Piecewise Continuous Coefficients over Bounded Polygonal Domains
    E. Espinoza-Loyola, Yu. I. Karlovich
    Pages 145-171
  10. Solvability and Lyapunov Stability of a Two-component System of Generalized Poisson–Nernst–Planck Equations
    Victor A. Kovtunenko, Anna V. Zubkova
    Pages 173-191
  11. A Local Uniqueness Result for a Quasi-linear Heat Transmission Problem in a Periodic Two-phase Dilute Composite
    Matteo Dalla Riva, Massimo Lanza de Cristoforis, Paolo Musolino
    Pages 193-227
  12. The Method of Potential Operators for Anisotropic Helmholtz Operators on Domains with Smooth Unbounded Boundaries
    Vladimir Rabinovich
    Pages 229-256
  13. Gabor Analysis for Schrödinger Equations and Propagation of Singularities
    Elena Cordero, Fabio Nicola, Luigi Rodino
    Pages 257-274
  14. Commutative Algebras of Toeplitz Operators on a Siegel Domain Associated with the Nilpotent Group of Its Biholomorphisms
    Armando Sánchez-Nungaray, Nikolai Vasilevski
    Pages 275-300

About this book

Introduction

This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday. It presents recent results on Toeplitz, Wiener-Hopf, and pseudodifferential operators, boundary value problems, operator theory, approximation theory, and reflects the broad spectrum of Roland Duduchava's research. The book is addressed to a wide audience of pure and applied mathematicians.

Keywords

Toeplitz Wiener-Hopf partial differential equations pseudodifferential operators spectral theory

Editors and affiliations

  • Vladimir Maz'ya
    • 1
  • David Natroshvili
    • 2
  • Eugene Shargorodsky
    • 3
  • Wolfgang L. Wendland
    • 4
  1. 1.Department of MathematicsLinköping UniversityLinköpingSweden
  2. 2.Department of MathematicsGeorgian Technical UniversityTbilisiGeorgia
  3. 3.Department of MathematicsKing's College LondonLondonUnited Kingdom
  4. 4.Institut für Angewandte Analysis und Numerische Simulation Fachbereich MathematikUniversität StuttgartStuttgartGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-47079-5
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-47077-1
  • Online ISBN 978-3-319-47079-5
  • Series Print ISSN 0255-0156
  • Series Online ISSN 2296-4878
  • Buy this book on publisher's site