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Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

The Vladimir Rabinovich Anniversary Volume

  • Book
  • © 2013

Overview

Editors:
  1. Yuri I. Karlovich

    1. de Morelos, Facultad de Ciencias, Universidad Autónoma del Estado, Cuernavaca, Mexico

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  2. Luigi Rodino

    1. , Dipartimento di Matematica, Università di Torino, Torino, Italy

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  3. Bernd Silbermann

    1. , Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany

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  4. Ilya M. Spitkovsky

    1. , Department of Mathematics, College of William and Mary, Williamsburg, USA

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  • Wide spectrum of important problems in operator theory, PDEs, mathematical physics and numerical analysis
  • Modern methods and approaches
  • Dedicated to Vladimir Rabinovich?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 228)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xxv
    Download chapter PDF

  2. The Dirichlet Problem for the Heat Equation in Domains with Cuspidal Points on the Boundary

    • Alexandra Antoniouk, Nikolai Tarkhanov
    Pages 1-20

  3. Globally Bisingular Elliptic Operators

    • U. Battisti, T. Gramchev, L. Rodino, S. Pilipović
    Pages 21-38

  4. The Index Formula of Douglas for Block Toeplitz Operators on the Bergman Space of the Ball

    • Albrecht Böttcher, Antti Perälä
    Pages 39-55

  5. The Green Function and Optical Field Enhancement in a Multilayered Microsphere with Metamaterial

    • Gennadiy Burlak, Vladimir Rabinovich
    Pages 57-72

  6. Potential Methods for Anisotropic Pseudo-Maxwell Equations in Screen Type Problems

    • O. Chkadua, R. Duduchava, D. Kapanadze
    Pages 73-93

  7. Functions of Noncommuting Operators in an Asymptotic Problem for a 2D Wave Equation with Variable Velocity and Localized Right-hand Side

    • Sergey Dobrokhotov, Dmitrii Minenkov, Vladimir Nazaikinskii, Brunello Tirozzi
    Pages 95-125

  8. On Toeplitz and Hankel Operators with Oscillatory Symbols Containing Blaschke Products and Applications to the KdV Equation

    • Sergei Grudsky, Alexei Rybkin
    Pages 127-150

  9. Mellin Quantisation in Corner Operators

    • N. Habal, B.-W. Schulze
    Pages 151-172

  10. Pseudodifferential Operators on Variable Lebesgue Spaces

    • Alexei Yu. Karlovich, Ilya M. Spitkovsky
    Pages 173-183

  11. On Convolution Type Operators with Piecewise Slowly Oscillating Data

    • Yuri I. Karlovich, Iván Loreto Hernández
    Pages 185-207

  12. Transmutations and Spectral Parameter Power Series in Eigenvalue Problems

    • Vladislav V. Kravchenko, Sergii M. Torba
    Pages 209-238

  13. Estimate from Below for the Growth of Solution to the Navier-Stokes Equation When the Solution Blows Up

    • Valeri V. Kucherenko
    Pages 239-259

  14. Some New Scales of Weight Characterizations of Hardy-type Inequalities

    • Alois Kufner, Lars-Erik Persson, Natasha Samko
    Pages 261-274

  15. Almost Periodic Elliptic Equations: Sub- and Super-solutions

    • Gaston M. N’Guérékata, Alexander Pankov
    Pages 275-292

  16. Morrey-Campanato Spaces: an Overview

    • Humberto Rafeiro, Natasha Samko, Stefan Samko
    Pages 293-323

  17. Arveson Dichotomy and Essential Fractality

    • Steffen Roch
    Pages 325-342

  18. Lower Bounds for the Counting Function of Integral Operators

    • Y. Safarov
    Pages 343-354

  19. Toeplitz Operators on the Bergman Spaces with Pseudodifferential Defining Symbols

    • Armando Sánchez-Nungaray, Nikolai Vasilevski
    Pages 355-374

  20. Finite Sections of Band-dominated Operators – Norms, Condition Numbers and Pseudospectra

    • Markus Seidel, Bernd Silbermann
    Pages 375-390
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Keywords

About this book

This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography of Vladimir Rabinovich, along with some personal recollections and bibliography of his work. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the International workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012) having a long history of scientific collaboration with Vladimir Rabinovich, and are partially based on the talks presented there.The volume will be of great interest to researchers and graduate students in differential equations, operator theory, functional and harmonic analysis, and mathematical physics.​

Editors and Affiliations

  • de Morelos, Facultad de Ciencias, Universidad Autónoma del Estado, Cuernavaca, Mexico

    Yuri I. Karlovich

  • , Dipartimento di Matematica, Università di Torino, Torino, Italy

    Luigi Rodino

  • , Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany

    Bernd Silbermann

  • , Department of Mathematics, College of William and Mary, Williamsburg, USA

    Ilya M. Spitkovsky

Bibliographic Information

  • Book Title: Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

  • Book Subtitle: The Vladimir Rabinovich Anniversary Volume

  • Editors: Yuri I. Karlovich, Luigi Rodino, Bernd Silbermann, Ilya M. Spitkovsky

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-0537-7

  • Publisher: Birkhäuser Basel

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

  • Copyright Information: Springer Basel 2013

  • Hardcover ISBN: 978-3-0348-0536-0Published: 31 October 2012

  • Softcover ISBN: 978-3-0348-0772-2Published: 09 November 2014

  • eBook ISBN: 978-3-0348-0537-7Published: 30 October 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XXVI, 410

  • Topics: Partial Differential Equations, Operator Theory

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