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Recent Trends in Operator Theory and Partial Differential Equations

The Roland Duduchava Anniversary Volume

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  • © 2017

Overview

Editors:
  1. Vladimir Maz'ya

    1. Department of Mathematics, Linköping University, Linköping, Sweden

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  2. David Natroshvili

    1. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia

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  3. Eugene Shargorodsky

    1. Department of Mathematics, King's College London, London, United Kingdom

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  4. Wolfgang L. Wendland

    1. Institut für Angewandte Analysis und Numerische Simulation Fachbereich Mathematik, Universität Stuttgart, Stuttgart, Germany

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  • Presents papers written by internationally leading researchers
  • Shares a broad picture of the current research in operator theory and partial differential equations
  • Motivates further research in a wide variety of fields in Mathematical Analysis and its applications

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

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xviii
    Download chapter 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
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, Linköping University, Linköping, Sweden

    Vladimir Maz'ya

  • Department of Mathematics, Georgian Technical University, Tbilisi, Georgia

    David Natroshvili

  • Department of Mathematics, King's College London, London, United Kingdom

    Eugene Shargorodsky

  • Institut für Angewandte Analysis und Numerische Simulation Fachbereich Mathematik, Universität Stuttgart, Stuttgart, Germany

    Wolfgang L. Wendland

Bibliographic Information

  • Book Title: Recent Trends in Operator Theory and Partial Differential Equations

  • Book Subtitle: The Roland Duduchava Anniversary Volume

  • Editors: Vladimir Maz'ya, David Natroshvili, Eugene Shargorodsky, Wolfgang L. Wendland

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-319-47079-5

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-47077-1Published: 06 March 2017

  • Softcover ISBN: 978-3-319-83655-3Published: 03 May 2018

  • eBook ISBN: 978-3-319-47079-5Published: 23 February 2017

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XVIII, 300

  • Number of Illustrations: 2 b/w illustrations, 22 illustrations in colour

  • Topics: Operator Theory, Partial Differential Equations, Integral Equations, Numerical Analysis

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