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OverviewThis 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 DetailsAuthor: Marek GalewskiPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2021 Weight: 0.302kg ISBN: 9783030753078ISBN 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 ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsPreface.- 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.ReviewsI 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 InformationMarek Galewski is a professor at the Institute of Mathematics of the Lodz University of Technology in Lodz, Poland. Tab Content 6Author Website:Countries AvailableAll regions |