Partial Differential Equations and Complex Analysis (Studies in Advanced Mathematics) - Steven G. Krantz, Krantz G. Krantz, Gavosto, Estela A, Peloso, Marco M (1992)
ISBN 0849371554
Subject Differential equations, Partial; Functions of complex variables; Mathematical analysis
Publisher CRC
Publication Date 7/2/1992
Format Hardcover (241 x 163 mm)
Language English
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.
Personal Details
Collection Status In Collection
Index 1652
Read It Yes
Links Amazon US
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Product Details
LoC Classification QA374 .K9 1992
Dewey 515/.35
Cover Price $89.95
No. of Pages 320
"Based on notes by Estela A. Gavosto and Marco M. Peloso."