Partial Differential Equations and Functional Analysis

图书简介

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.In this book, friends and pupils of Mark Vishik remember his life and work. From his early years as a student to his connection with the Lwow school of Stephan Banach and to his later career as a respected teacher and mentor, Vishik’s legacy is explored in detail. His research and pedagogical work influenced hundreds of undergraduate and graduate students, many of whom went on to become leading figures in their own right. 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 others.

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 mathematician, 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, Moscow, 2012.- The Scottish Book, 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 Quatum Ergodic Theorem.- Bibliography of Mark Vishik.

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Partial Differential Equations and Functional Analysis（Trends in Mathematics） 偏微分方程与泛函分析：马克·约瑟夫·维希克：生命与科学遗产 数学分析

Partial Differential Equations and Functional Analysis（Trends in Mathematics）

偏微分方程与泛函分析：马克·约瑟夫·维希克：生命与科学遗产
数学分析