作者: Gerald B. Folland , Joseph John Kohn
DOI:
关键词: Cauchy–Riemann equations 、 Mathematics 、 Neumann boundary condition 、 Several complex variables 、 Hilbert space 、 Calculus 、 Algebra 、 Sobolev spaces for planar domains 、 Affiliated operator 、 Abelian von Neumann algebra 、 Von 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.