The Neumann problem for the Cauchy-Riemann complex

作者: Gerald B. Folland , Joseph John Kohn

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关键词: Cauchy–Riemann equationsMathematicsNeumann boundary conditionSeveral complex variablesHilbert spaceCalculusAlgebraSobolev spaces for planar domainsAffiliated operatorAbelian von Neumann algebraVon Neumann's theorem

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

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