The Neumann Problem for the Cauchy-Riemann Complex

✍ Scribed by Gerald B. Folland, Joseph John Kohn

Publisher: Princeton University Press
Year: 1972
Tongue: English
Leaves: 158
Series: Annals of Mathematics Studies 75
Category: Library

No coin nor oath required. For personal study only.

✦ 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.

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