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Partial Differential Equations and Functional Analysis

Mark Vishik: Life and Scientific Legacy

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  • © 2023

Overview

Editors:
  1. Andrew Comech

    1. Department of Mathematics, Texas A&M University, College Station, USA

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  2. Alexander Komech

    1. Faculty of Mathematics, University of Vienna, Vienna, Austria

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    You can also search for this editor in PubMed   Google Scholar

  3. Mikhail Vishik

    1. Department of Mathematics, The University of Texas at Austin, Austin, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Commemorates a leading figure in the Moscow mathematical school
  • Includes personal reminiscences
  • Features review articles on Vishik's work

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

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About this book

Mark Vishik was one of the prominent figures in the theory of partial differential equations. His ground-breaking contributions were instrumental in integrating the methods of functional analysis into this theory.


The book is based on the memoirs of his friends and students, as well as on the recollections of Mark Vishik himself, and contains a detailed description of his biography: childhood in Lwów, his connections with the famous Lwów school of Stefan Banach, a difficult several year long journey from Lwów to Tbilisi after the Nazi assault in June 1941, going to Moscow and forming his own school of differential equations, whose central role was played by the famous Vishik Seminar at the Department of Mechanics and Mathematics at Moscow State University. The reader is introduced to a number of remarkable scientists whose lives intersected with Vishik’s, including S. Banach, J. Schauder, I. N. Vekua, N. I. Muskhelishvili, L. A. Lyusternik, I. G. Petrovskii, S. L. Sobolev, I. M. Gelfand, M. G. Krein, A. N. Kolmogorov, N. I. Akhiezer, J. Leray, J.-L. Lions, L. Schwartz, L. Nirenberg, and many others.


The book also provides a detailed description of the main research directions of Mark Vishik written by his students and colleagues, as well as several reviews of the recent development in these directions.


Keywords

Table of contents (24 chapters)

  1. Front Matter

    Pages i-x
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  2. Memoirs

    1. Front Matter

      Pages 1-1
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    2. Notes About My Father

      • Mikhail Vishik
      Pages 3-12

    3. Mark Iosifovich and Asia Moiseevna: Random Reminiscences

      • Claire Vishik, Inna Vishik
      Pages 13-22

    4. Meetings with Mark Iosifovich Vishik

      • Ekaterina Kalikinskaya
      Pages 23-35

    5. My Scientific Advisor Mark Iosifovich Vishik

      • Sybille Handrock-Meyer
      Pages 37-39

    6. M. I. Vishik in My Life

      • Andrei Fursikov
      Pages 41-44

    7. Un Grand Mathématicien, le Professeur Vishik

      • Gérard Tronel
      Pages 45-51

    8. Recollections of a Former Mechmat Student

      • Ljudmila Meister
      Pages 53-57

    9. A Word About M. I. Vishik

      • Alexander Demidov
      Pages 59-61

    10. Mark Iosifovich Vishik

      • Alexander Shnirelman
      Pages 63-66

    11. Teacher and Friend

      • Alexander Komech
      Pages 67-79

    12. M. I. Vishik

      • Anatoli Babin
      Pages 81-86

    13. In Mark Vishik’s Own Words

      • Andrew Comech
      Pages 87-105

    14. Remembering Wladek Lyantse

      • Mark Vishik
      Pages 107-108

  3. Science

    1. Front Matter

      Pages 109-109
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    2. Symposium in Honor of Professor Mark Vishik. Berlin, 2001

      • Andrew Comech, Alexander Komech, Mikhail Vishik
      Pages 111-127

    3. International Conference <> in Honour of Mark Vishik on the Occasion of His 90th Birthday.Moscow, 2012

      • Andrew Comech, Alexander Komech, Mikhail Vishik
      Pages 129-131

    4. <>, Problem 192

      • Andrew Comech
      Pages 133-135

    5. General Elliptic Boundary Value Problems in Bounded Domains

      • Mark Malamud
      Pages 137-144
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Editors and Affiliations

  • Department of Mathematics, Texas A&M University, College Station, USA

    Andrew Comech

  • Faculty of Mathematics, University of Vienna, Vienna, Austria

    Alexander Komech

  • Department of Mathematics, The University of Texas at Austin, Austin, USA

    Mikhail Vishik

Bibliographic Information

  • Book Title: Partial Differential Equations and Functional Analysis

  • Book Subtitle: Mark Vishik: Life and Scientific Legacy

  • Editors: Andrew Comech, Alexander Komech, Mikhail Vishik

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-031-33681-2

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-33680-5Published: 15 October 2023

  • Softcover ISBN: 978-3-031-33683-6Due: 15 November 2023

  • eBook ISBN: 978-3-031-33681-2Published: 14 October 2023

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: X, 338

  • Number of Illustrations: 114 b/w illustrations, 9 illustrations in colour

  • Topics: Analysis, Functional Analysis, Mathematical Physics

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