Functional analytic methods for partial differential equations

書誌事項

Functional analytic methods for partial differential equations

Hiroki Tanabe

(Monographs and textbooks in pure and applied mathematics, 204)

Marcel Dekker, c1997

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注記

Includes bibliographical remarks (p. 391-395), bibliography (p. 397-410) and index

内容説明・目次

内容説明

Combining both classical and current methods of analysis, this text present discussions on the application of functional analytic methods in partial differential equations. It furnishes a simplified, self-contained proof of Agmon-Douglis-Niremberg's Lp-estimates for boundary value problems, using the theory of singular integrals and the Hilbert transform.

目次

  • Singular integrals
  • Sobolev spaces
  • elliptic boundary value problems
  • elliptic boundary value problems (continued)
  • parabolic evolution equations
  • hyperbolic evolution equations
  • retarded functional differential equations
  • list of symbols.

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