Title: Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations
Publisher: American Mathematical Society
Publication Date: 2021
Language: English
ISBN 10: 1470465728
ISBN 13: 9781470465728
Binding: Paperback / softback
Condition: New
Weight: 526 grams

About this title

Synopsis

This textbook is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations. The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics. Enough of the theory of Sobolev spaces and semigroups of linear operators is included as needed to develop significant applications to elliptic, parabolic, and hyperbolic PDEs. Throughout the book, care has been taken to explain the connections between theorems in functional analysis and familiar results of finite-dimensional linear algebra. The main concepts and ideas used in the proofs are illustrated with a large number of figures. A rich collection of homework problems is included at the end of most chapters. The book is suitable as a text for a one-semester graduate course.

About the Author

Alberto Bressan, Pennsylvania State University, University Park, PA

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