Partial differential operators of elliptic type

書誌事項

Partial differential operators of elliptic type

Norio Shimakura ; translated by Norio Shimakura

(Translations of mathematical monographs, v. 99)

American Mathematical Society, c1992

タイトル別名

楕円形偏微分作用素

Daenkei henbibun sayōso

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注記

Rev. translation of: 楕円形偏微分作用素 1978

Bibliographical references: p. 275-281

Includes index

内容説明・目次

内容説明

This book, which originally appeared in Japanese, was written for use in an undergraduate course or first year graduate course in partial differential equations and is likely to be of interest to researchers as well. This book presents a comprehensive study of the theory of elliptic partial differential operators. Beginning with the definitions of ellipticity for higher order operators, Shimakura discusses the Laplacian in Euclidean spaces, elementary solutions, smoothness of solutions, Vishik-Sobolev problems, the Schauder theory, and degenerate elliptic operators. The appendix covers such preliminaries as ordinary differential equations, Sobolev spaces, and maximum principles. Because elliptic operators arise in many areas, readers will appreciate this book for the way it brings together a variety of techniques that have arisen in different branches of mathematics.

目次

Partial differential operators of elliptic type The Laplacian n Euclidean spaces Constructions and estimates of elementary solutions Smoothness of solutions Vishik-Sobolev problems General boundary value problems Schauder estimates and applications Degenerate elliptic operators.

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詳細情報

  • NII書誌ID(NCID)
    BA17302948
  • ISBN
    • 082184556X
  • LCCN
    92002953
  • 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
  • 原本言語コード
    jpn
  • 出版地
    Providence, R.I.
  • ページ数/冊数
    xiii, 288 p.
  • 大きさ
    27 cm
  • 分類
  • 件名
  • 親書誌ID
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