Topics in Functional Analysis and Applications
Published on 1. April 1989
Book
Hardback
290 pages
978-0-470-21050-5 (ISBN)
Description
Present day research in partial differential equations uses a lot of functional analytic techniques. This book treats these methods concisely, in one volume, at the graduate level. It introduces distribution theory (which is fundamental to the study of partial differential equations) and Sobolev spaces (the natural setting in which to find generalized solutions of PDE). Examples, counter-examples, and exercises are included.
More details
Language
English
Place of publication
New York
United States
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
appendixes
Dimensions
Height: 63 mm
Width: 50 mm
Weight
482 gr
ISBN-13
978-0-470-21050-5 (9780470210505)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Content
Distributions: Test Functions and Distributions on iir; Derivatives of Distributions, Convolutions, Tempered Distributions; Sobolev Spaces: Domains in iir, Extension Operators, Inclusion Theorems, Compactness Theorems, Trace Theory; Weak Solutions of Elliptic Problems: The Lax- Milgram Lemma and Variations; Examples of Elliptic Problems, Regularity of Weak Solutions, Elementary Theory of the Finite Element Method; Semi-Groups and Applications: Unbounded Operators on a Banach Space, Co-Semigroups, Applications to the Wave Equation, The Inhomogeneous Equation; Appendix 1: The Topology on D; Appendix 2: Vector-Valued Integration.