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Partial Differential Equations and Complex Analysis~tqw~ darksiderg

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Partial Differential Equations and Complex Analysis
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Type.................: Ebook
Part Size............: 16,135,749 bytes




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Posted by............: ~tqw~

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Release Notes
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Ever since the groundbreaking work of J.J. Kohn in the early 1960s, there has
been a significant interaction between the theory of partial differential
equations and the function theory of several complex variables. Partial
Differential Equations and Complex Analysis explores the background and plumbs
the depths of this symbiosis.

The book is an excellent introduction to a variety of topics and presents many
of the basic elements of linear partial differential equations in the context of
how they are applied to the study of complex analysis. The author treats the
Dirichlet and Neumann problems for elliptic equations and the related Schauder
regularity theory, and examines how those results apply to the boundary
regularity of biholomorphic mappings. He studies the ?-Neumann problem, then
considers applications to the complex function theory of several variables and
to the Bergman projection.

Table Of Contents

Preface xi
1 The Dirichlet Problem in the Complex Plane 1
2 Review of Fourier Analysis 26
3 PseudodifferentialOperators 52
4 Elliptic Operators 76
5 Elliptic Boundary Value Problems 95
6 A Degenerate Elliptic Boundary Value Problem 128
7 The a-Neumann Problem 184
8 Applications of the a-Neumann Problem 252
9 The Local Solvability Issue and a Look Back 269
Table of Notation 283
Bibliography 287
Index 295

Product Details

* ISBN: 0849371554
* ISBN-13: 9780849371554
* Format: Hardcover, 320pp
* Publisher: CRC Press
* Pub. Date: July 1992
* Edition Number: 1

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