中文

$\overline{\partial}$-Neumann Problem in the Sobolev Topology

复变函数 2008-02-03 v1

摘要

We study the \overline{\partial}-Neumann problem using the Sobolev space inner product. We show that the problem can be solved on any smoothly bounded, pseudoconvex domain. We further formulate estimates and the basic results of a Sobolev Hodge theory.

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引用

@article{arxiv.math/9611211,
  title  = {$\overline{\partial}$-Neumann Problem in the Sobolev Topology},
  author = {Luigi Fontana and Steven G. Krantz and Marco M. Peloso},
  journal= {arXiv preprint arXiv:math/9611211},
  year   = {2008}
}