An introduction to pseudo-differential operators

書誌事項

An introduction to pseudo-differential operators

M.W. Wong

World Scientific, c1999

2nd ed

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注記

Includes bibliographical references (p. 135-136) and index

内容説明・目次

内容説明

In this new edition of An Introduction to Pseudo-Differential Operators, the style and scope of the original book are retained. A chapter on the interchange of order of differentiation and integration is added at the beginning to make the book more self-contained, and a chapter on weak solutions of pseudo-differential equations is added at the end to enhance the value of the book as a work on partial differential equations. Several chapters are provided with additional exercises. The bibliography is slightly expanded and an index is added.

目次

  • Differentiation of integrals depending on parameters
  • the convolution
  • the Fourier transform
  • tempered distributions
  • symbols, pseudo-differential operators and asymptotic expansions
  • a partition of unity and Taylor's formula
  • the product of two pseudo-differential operators
  • the formal adjoint of a pseudo-differential operator
  • the parametrix of an elliptic pseudo-differential operator
  • Lp boundedness of pseudo-differential operators
  • the Sobolev spaces
  • closed linear operators
  • minimal and maximal pseudo-differential operators
  • global regularity of elliptic partial differential operators
  • weak solutions of pseudo-differential equations.

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詳細情報

  • NII書誌ID(NCID)
    BA41542766
  • ISBN
    • 9810238134
  • LCCN
    98054442
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore ; River Edge, N.J.
  • ページ数/冊数
    x, 138 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
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