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Basic Monotonicity Methods with Some Applications

Basic Monotonicity Methods with Some Applications
Catalogue Information
Field name Details
Dewey Class 515.724
Title Basic Monotonicity Methods with Some Applications ([EBook] /) / by Marek Galewski.
Author Galewski, Marek
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2021.
Publication Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2021.
Physical Details X, 180 p. : online resource.
Series Compact Textbooks in Mathematics 2296-455X
ISBN 9783030753085
Summary Note 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.:
Contents note 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.
Mode of acces to digital resource Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-030-75308-5
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