ENGLISH

Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations

By Alberto Bressan

Book information

Publisher
American Mathematical Society
Year
2012
ISBN
0821887718, 9780821887714
Language
english
Format
PDF
Filesize
4 MB (3728565 bytes)
Series
Graduate Studies in Mathematics 143
Pages
xii+250\265
DPI
600
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2014-02-06 19:08:27

Description

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. Readership: Graduate students interested in functional analysis and partial differential equations.

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