Topics in functional analysis and applications

書誌事項

Topics in functional analysis and applications

S. Kesavan

Wiley, 1989

  • : Wiley

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注記

Bibliography: p. [261]-264

Includes index

内容説明・目次

内容説明

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. It introduces distribution theory (which is fundamental to the study of partial differential equations) and Sobolev spaces (the natural setting in which to find generalized solutions of PDE). Examples, counter-examples, and exercises are included.

目次

  • 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.

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詳細情報

  • NII書誌ID(NCID)
    BA06815270
  • ISBN
    • 0470210508
  • LCCN
    87037139
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xii, 267 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
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