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.
- ISBN10 0691081204
- ISBN13 9780691081205
- Publish Date 21 November 1972
- Publish Status Active
- Publish Country US
- Imprint Princeton University Press
- Format Paperback (US Trade)
- Pages 156
- Language English
- URL https://press.princeton.edu/titles/737.html