Functional Analytic Methods for Partial Differential Equations: 1st Edition (Paperback) book cover

Functional Analytic Methods for Partial Differential Equations

1st Edition

By Hiroki Tanabe

CRC Press

432 pages

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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.

About the Author

Tanabe, Hiroki

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Functional Analysis