01514nam a22002417a 4500999001700000005001700017008004100034020001500075028003800090082001400128100001400142245006300156260003100219300002900250365000700279505064000286520018500926650001601111655002501127700001401152942000801166952009801174  c56186d5618620200117105227.0200117b           ||||| |||| 00| 0 eng d  a8122400620  aDonated by Mathematics Department  a515.7 KES  aS Kesavan  aTopics in functional analysis and applicationsc/S Kesavan  aNew York b: Wileyc, 1989  axii, 267 pages c; 25 cm  b00  a
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.  aPresent 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.  aMathematics  a;Functional analysis  aS Kesavan  cMDL  00102ddc4070aMDLbSNULf00l0n516o515.7 KESpM056r2020-01-17 00:00:00w2020-01-17yMDL