Partial Differential Equations and Functional Analysis

Andrew Comech

ISBN 10: 3031336801 / ISBN 13: 9783031336805

Published by Springer International Publishing, Springer Nature Switzerland Okt 2023, 2023

About this Item

Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 348 pp. Englisch.

Seller Inventory # 9783031336805

Bibliographic Details

• Title: Partial Differential Equations and Functional Analysis
• Publisher: Springer International Publishing, Springer Nature Switzerland Okt 2023
• Publication Date: 2023
• Language: English
• ISBN 10: 3031336801
• ISBN 13: 9783031336805
• Binding: Buch
• Condition: Neu

About this title

Synopsis

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.