English

Solution of the d-bar-Neumann problem on a non-smooth domain

Complex Variables 2007-05-23 v1

Abstract

We study the solution of the d-bar-Neumann problem on (0,1)-forms on the product of two half-planes in C^2. In, particular, we show the solution can be decomposed into functions smooth up to the boundary and functions which are singular at the singular points of the boundary. Furthermore, we show the singular functions are log and arctan terms.

Keywords

Cite

@article{arxiv.math/0112065,
  title  = {Solution of the d-bar-Neumann problem on a non-smooth domain},
  author = {Dariush Ehsani},
  journal= {arXiv preprint arXiv:math/0112065},
  year   = {2007}
}
R2 v1 2026-07-22T16:42:00.512Z