Partial Differential Equations and Functional Analysis

Released on by Andrew Comech
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  • Partial Differential Equations and Functional Analysis Book Detail

  • Author : Andrew Comech
  • Release Date : 2023-11-15
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 334
  • ISBN 13 : 303133681X
  • File Size : 49,49 MB
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Partial Differential Equations and Functional Analysis by Andrew Comech PDF Summary

Book Description: 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.

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"This book is devoted to a systematic study of an important aspect of non-linear functional analysis. The methods developed are for the study of equations conta