Basic monotonicity methods with some applications
This textbook introduces some basic tools from the theory of monotone operators together with some of their applications. Examples that work for ordinary differential equations are provided. The illustrating material is kept relatively simple, while at the same time offering inspiring applications to the reader. The material will appeal to graduate students in mathematics who want to learn some basics in the theory of monotone operators. Furthermore, it offers a smooth transition to studying mo…
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- Full title :Basic monotonicity methods with some applications / Marek Galewski.
Summary
This textbook introduces some basic tools from the theory of monotone operators together with some of their applications. Examples that work for ordinary differential equations are provided. The illustrating material is kept relatively simple, while at the same time offering inspiring applications to the reader. The material will appeal to graduate students in mathematics who want to learn some basics in the theory of monotone operators. Furthermore, it offers a smooth transition to studying more advanced topics pertaining to more refined applications by shifting to pseudomonotone operators, and next, to multivalued monotone operators.
Read More ↓Edition Statements
- Publication Date:©2021
Publication Statements
- Publisher(s):Birkhäuser
- Place of Publication:Cham
- Language:eng
- Publication Date:©2021
The Physical Object
- Description:x, 180 pages : 24 cm
Edition Identifiers
- ISBN:3030753077, 9783030753078
- oclc:on1340771890
- LC Classification:QA329
Table of Contents
Preface -- Introduction to the topic of the course -- Some excerpts from functional analysis -- Monotone operators -- On the Fenchel-Young conjugate -- Potential operators -- Existence of solutions to abstract equations -- Normalized duality mapping -- On the Galerkin method -- Some selected applications.
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