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Basic monotonicity methods with some...

Galewski, Marek.

Basic monotonicity methods with some applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Basic monotonicity methods with some applicationsby Marek Galewski.
Author:	Galewski, Marek.
Published:	Cham :Springer International Publishing :2021.
Description:	x, 180 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Monotone operators.
Online resource:	https://doi.org/10.1007/978-3-030-75308-5
ISBN:	9783030753085

Basic monotonicity methods with some applications
Galewski, Marek.

Basic monotonicity methods with some applications[electronic resource] /by Marek Galewski. - Cham :Springer International Publishing :2021. - x, 180 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-455X. - Compact textbooks in mathematics..

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.

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.

ISBN: 9783030753085

Standard No.: 10.1007/978-3-030-75308-5doiSubjects--Topical Terms:

274794
Monotone operators.

LC Class. No.: QA329 / .G35 2021

Dewey Class. No.: 515.724

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520 $a 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.
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