Partial Differential Equations and Functional Analysis : Mark Vishik: Life and Scientific Legacy

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ISBN 10: 3031336801 / ISBN 13: 9783031336805

Editore: Springer International Publishing, 2023

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Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher.

Codice articolo 42468800/1

Dati bibliografici

• Titolo: Partial Differential Equations and Functional Analysis : Mark Vishik: Life and Scientific Legacy
• Editore: Springer International Publishing
• Data di pubblicazione: 2023
• Lingua: Inglese
• ISBN 10: 3031336801
• ISBN 13: 9783031336805
• Rilegatura: Rilegato
• Condizione: Hervorragend
• Cataloghi dei venditori:
  • Bücher

Descrizione articolo

Riassunto

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.