English

Analysis of the $\bar{\partial}$-Neumann problem along a straight edge

Complex Variables 2007-05-23 v1 Analysis of PDEs

Abstract

We show there exists an L^p solution, for p>2, to the dbar-Neumann problem on an edge domain in C^2 for (0,1)-forms, and we explicitly compute the singularities, which are of complex logarithmic and arctangent type, along the edge, of the solution.

Keywords

Cite

@article{arxiv.math/0309169,
  title  = {Analysis of the $\bar{\partial}$-Neumann problem along a straight edge},
  author = {Dariush Ehsani},
  journal= {arXiv preprint arXiv:math/0309169},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T16:57:34.898Z