Galewski Basic Monotonicity Methods with Some Applications

1. Auflage 2021
ISBN: 978-3-030-75308-5
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 180 Seiten

Reihe: Compact Textbooks in Mathematics

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Galewski, Marek

Inhaltsverzeichnis

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.

Über Autor(innen)

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