The Neumann Problem for the Cauchy-Riemann Complex (Annals of Mathematics Studies, 75)

Folland, Gerald B.

ISBN 10: 0691081204 / ISBN 13: 9780691081205

Published by Princeton University Press, 1972

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Bibliographic Details

• Title: The Neumann Problem for the Cauchy-Riemann Complex (Annals of Mathematics Studies, 75)
• Publisher: Princeton University Press
• Publication Date: 1972
• Language: English
• ISBN 10: 0691081204
• ISBN 13: 9780691081205
• Binding: Soft cover
• Condition: good

About this title

Synopsis

Part explanation of important recent work, and part introduction to some of the techniques of modern partial differential equations, this monograph is a self-contained exposition of the Neumann problem for the Cauchy-Riemann complex and certain of its applications. The authors prove the main existence and regularity theorems in detail, assuming only a knowledge of the basic theory of differentiable manifolds and operators on Hilbert space. They discuss applications to the theory of several complex variables, examine the associated complex on the boundary, and outline other techniques relevant to these problems. In an appendix they develop the functional analysis of differential operators in terms of Sobolev spaces, to the extent it is required for the monograph.

From the Back Cover

This book is based on the notes from lectures given by the second author at Princeton University in the year 1970-71, which were subsequently expanded and revised by the first author.