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comech andrew (curatore); komech alexander (curatore); vishik mikhail (curatore) - partial differential equations and functional analysis

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

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Genere:Libro
Lingua: Inglese
Editore:

Birkhäuser

Pubblicazione: 10/2023
Edizione: 1st ed. 2023





Trama

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.





Sommario

Part I Memoirs. - Notes About My Father. - Mark Iosifovich and Asia Moiseevna: Random Reminiscences. - Meetings with Mark Iosifovich Vishik. - My Scientific Advisor Mark Iosifovich Vishik. - M. I. Vishik in My Life. - Un Grand Mathématicien, le Professeur Vishik. - Recollections of a Former Mechmat Student. - A Word About M. I. Vishik. - Mark Iosifovich Vishik. - Teacher and Friend. - M. I. Vishik. - In Mark Vishik’s Own Words. - Remembering Wladek Lyantse. - Part II Science. - Symposium in Honor of Professor Mark Vishik. Berlin, 2001. - International Conference «Partial Differential Equations and Applications» in Honour of Mark Vishik on the Occasion of His 90th Birthday. Moscow, 2012. - «TheScottishBook», Problem 192. - General Elliptic Boundary Value Problems in Bounded Domains. - On the Vishik–Lyusternik Method. - Mark Vishik’s Work on Quasilinear Equations. - Attractors for Nonlinear Nonautonomous Equations. - Rigorous Results in Space-Periodic Two-Dimensional Turbulence. - Attractors of Hamiltonian Nonlinear Partial Differential Equations. - The True Story of Quantum Ergodic Theorem. - Bibliography of Mark Vishik. - Photographs.










Altre Informazioni

ISBN:

9783031336805

Condizione: Nuovo
Collana: Trends in Mathematics
Dimensioni: 235 x 155 mm Ø 688 gr
Formato: Copertina rigida
Illustration Notes:X, 338 p. 123 illus., 9 illus. in color.
Pagine Arabe: 338
Pagine Romane: x


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