01405nam a22002297a 4500 56186 56186 20200117105227.0 200117b ||||| |||| 00| 0 eng d 8122400620 Donated by Mathematics Department 515.7 KES S Kesavan Topics in functional analysis and applications /S Kesavan New York : Wiley , 1989 xii, 267 pages ; 25 cm 00 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. Mathematics ;Functional analysis S Kesavan MDL 0 0 ddc 0 0 MDL SNUL 00 0 516 515.7 KES M056 2020-01-17 00:00:00 2020-01-17 MDL