Functional analytic methods for partial differential equations

Bibliographic Information

Functional analytic methods for partial differential equations

Hiroki Tanabe

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

CRC Press, 2019

  • : pbk

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Note

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

"First issued in paperback 2019"--T.p. verso

Description and Table of Contents

Description

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.

Table of Contents

  • 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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