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Kesavan, S.

Topics in functional analysis and applications - New York Wiley Eastern Lmt. 1989 - xii, 267 pages : illustrations ;

Includes Index

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.

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.

ISBN: 9788122400625 8122400620

Subjects--Topical Terms:
Functional analysis.

Dewey Class. No.: 515.7 / KES