S Kesavan creator S Kesavan text ;Functional analysis New York : Wiley , 1989 monographic eng

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xii, 267 pages ; 25 cm 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. 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. /S Kesavan Mathematics 515.7 KES 8122400620 Donated by Mathematics Department 200117 20200117105227.0