Basic monotonicity methods with some applications /

Basic monotonicity methods with some applications /

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Bibliographic Details
Author / Creator:	Galewski, Marek, author.
Imprint:	Cham : Birkhäuser, [2021] ©2021
Description:	1 online resource.
Language:	English
Series:	Compact textbooks in mathematics, 2296-455X Compact textbooks in mathematics.
Subject:	Monotone operators. Monotone operators. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12660547

Hidden Bibliographic Details
ISBN:	9783030753085 3030753085 9783030753078 3030753077
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed September 13, 2021).
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.
Other form:	Original 3030753077 9783030753078
Standard no.:	10.1007/978-3-030-75308-5

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.