$\overline{\partial}$-Neumann Problem in the Sobolev Topology
Complex Variables
2008-02-03 v1
Abstract
We study the -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.
Cite
@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}
}