Partial Differential Equations and Complex Analysis~tqw~ darksiderg

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  Partial Differential Equations and Complex Analysis~tqw~ darksiderg
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  15 MB
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• Added:
  07/01/2008
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  2009-10-27 13:27:10
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  *******************************************************************************<br /> Partial Differential Equations and Complex Analysis <br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 16,135,749 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> Ever since the groundbreaking work of J.J. Kohn in the early 1960s, there has <br /> been a significant interaction between the theory of partial differential <br /> equations and the function theory of several complex variables. Partial <br /> Differential Equations and Complex Analysis explores the background and plumbs <br /> the depths of this symbiosis.<br /> <br /> The book is an excellent introduction to a variety of topics and presents many <br /> of the basic elements of linear partial differential equations in the context of <br /> how they are applied to the study of complex analysis. The author treats the <br /> Dirichlet and Neumann problems for elliptic equations and the related Schauder <br /> regularity theory, and examines how those results apply to the boundary <br /> regularity of biholomorphic mappings. He studies the ?-Neumann problem, then <br /> considers applications to the complex function theory of several variables and <br /> to the Bergman projection.<br /> <br /> Table Of Contents<br /> <br /> Preface xi<br /> 1 The Dirichlet Problem in the Complex Plane 1<br /> 2 Review of Fourier Analysis 26<br /> 3 PseudodifferentialOperators 52<br /> 4 Elliptic Operators 76<br /> 5 Elliptic Boundary Value Problems 95<br /> 6 A Degenerate Elliptic Boundary Value Problem 128<br /> 7 The a-Neumann Problem 184<br /> 8 Applications of the a-Neumann Problem 252<br /> 9 The Local Solvability Issue and a Look Back 269<br /> Table of Notation 283<br /> Bibliography 287<br /> Index 295<br /> <br /> Product Details<br /> <br /> * ISBN: 0849371554<br /> * ISBN-13: 9780849371554<br /> * Format: Hardcover, 320pp<br /> * Publisher: CRC Press<br /> * Pub. Date: July 1992<br /> * Edition Number: 1<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader<br />
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