Overview
- Provides basics in the theory of monotone operators
- Offers a transition to more advanced topics
- Includes examples with ODEs
Part of the book series: Compact Textbooks in Mathematics (CTM)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
“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)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Basic Monotonicity Methods with Some Applications
Authors: Marek Galewski
Series Title: Compact Textbooks in Mathematics
DOI: https://doi.org/10.1007/978-3-030-75308-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-75307-8Published: 02 September 2021
eBook ISBN: 978-3-030-75308-5Published: 01 September 2021
Series ISSN: 2296-4568
Series E-ISSN: 2296-455X
Edition Number: 1
Number of Pages: X, 180
Topics: Operator Theory, Analysis