Functional Analytic Methods for Partial Differential Equations  book cover
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Functional Analytic Methods for Partial Differential Equations




ISBN 9780367401221
Published September 5, 2019 by CRC Press
432 Pages

 
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Book 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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Author(s)

Biography

Tanabe, Hiroki