ENGLISH

The Neumann Problem for the Cauchy-Riemann Complex

By Gerald B. Folland , Joseph John Kohn

Book information

Publisher
Princeton University Press
Year
1972
ISBN
0691081204, 9780691081205
Language
english
Format
DJVU
Filesize
1 MB (1352133 bytes)
Series
Annals of Mathematics Studies 75
Pages
158\158
Time added
2016-02-13 18:24:00

Description

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.

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