TY - BOOK AU - Kesavan, S. TI - Topics in functional analysis and applications SN - 9788122400625 U1 - 515.7 PY - 1989/// CY - New York PB - Wiley Eastern Lmt. KW - Functional analysis N1 - 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 N2 - 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 ER -