Functional Analytic Methods for Partial Differential Equations

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CRC Press, Sep 4, 1996 - Mathematics - 432 pages
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.
 

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Contents

67
32
Sobolev Spaces
67
Elliptic Boundary Value Problems
121
Elliptic Boundary Value ProblemsContinued
169
Parabolic Evolution Equations
221
Hyperbolic Evolution Equations
285
Retarded Functional Differential Equations
323
Bibliographical Remarks
391
Bibliography
397
List of Symbols
411

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About the author (1996)

Hiroki Tanabe is a Professor in the Department of Economics at Otemon Gakuin University, Osaka, Japan.

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