Lectures In Nonlinear Functional Analysis: Synopsis Of Lectures Given At The Faculty Of Physics Of Lomonosov Moscow State University
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A01=Alexander Anatolyevich Panin
A01=Alexey V Ovchinnikov
A01=Maxim Olegovich Korpusov
Author_Alexander Anatolyevich Panin
Author_Alexey V Ovchinnikov
Author_Maxim Olegovich Korpusov
Category=PBKF
Cauchy Problem
Coercivity
Compactness
Conditional Extremum
Continuity
Convergence
Derivative
Elliptic Equations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Functional
Galerkin Method
Global Solvability
Hyperbolic Equations
Local Solvability
Lower Solution
Maximum Principle
Monotonicity
Nonlinear Equation
Operator
Parabolic Equations
Picard Theorem
Schauder Principle
Strong Solution
Upper Solution
Variational Methods
Weak Solution
Product details
- ISBN 9789811248924
- Publication Date: 11 Feb 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
