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Lectures in Nonlinear Functional Analysis: Synopsis of Lectures Given at the Faculty of Physics of Lomonosov Moscow State University (20211228) - Hardcover

Korpusov, Lomonosov Moscow State University Russia Maxim O; Ovchinnikov, Lomonosov Moscow State University Russia Alexey V; Panin, Lomonosov Moscow State University Russia Alexander A

 
9789811248924: Lectures in Nonlinear Functional Analysis: Synopsis of Lectures Given at the Faculty of Physics of Lomonosov Moscow State University (20211228)

Synopsis

This book is a systematic presentation of basic notions, facts, and ideas of nonlinear functional analysis and their applications to nonlinear partial differential equations. It begins from a brief introduction to linear functional analysis, including various types of convergence and functional spaces. The main part of the book is devoted to the theory of nonlinear operators. Various methods of the study of nonlinear differential equations based on the facts of nonlinear analysis are presented in detail. This book may serve as an introductory textbook for students and undergraduates specializing in modern mathematical physics.

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