Basic Monotonicity Methods with Some Applications

Author:   Marek Galewski
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
ISBN:  

9783030753078


Pages:   180
Publication Date:   02 September 2021
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Basic Monotonicity Methods with Some Applications


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Overview

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.

Full Product Details

Author:   Marek Galewski
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Weight:   0.302kg
ISBN:  

9783030753078


ISBN 10:   3030753077
Pages:   180
Publication Date:   02 September 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

Reviews

I enjoyed reading this book and can confidently recommend it to any instructor teaching a course on monotonicity methods. (Casey Timothy Cremins, Mathematical Reviews, June, 2022)


“This monograph is an excellent addition to the literature on nonlinear analysis, especially the theory of monotone operators. … The presentation is brief, in large parts, but quite informative. This is a very readable text and is mostly self-contained. This should serve as a text for anyone who wants to know about the most important aspects of monotone operators, especially a researcher who wants to pursue the area of monotone operator theory.” (K. C. Sivakumar, zbMATH 1486.47001, 2022) “I enjoyed reading this book and can confidently recommend it to any instructor teaching a course on monotonicity methods.” (Casey Timothy Cremins, Mathematical Reviews, June, 2022)


This monograph is an excellent addition to the literature on nonlinear analysis, especially the theory of monotone operators. ... The presentation is brief, in large parts, but quite informative. This is a very readable text and is mostly self-contained. This should serve as a text for anyone who wants to know about the most important aspects of monotone operators, especially a researcher who wants to pursue the area of monotone operator theory. (K. C. Sivakumar, zbMATH 1486.47001, 2022) I enjoyed reading this book and can confidently recommend it to any instructor teaching a course on monotonicity methods. (Casey Timothy Cremins, Mathematical Reviews, June, 2022)


Author Information

Marek Galewski is a professor at the Institute of Mathematics of the Lodz University of Technology in Lodz, Poland.

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