English

The Diederich--Forn\ae ss index and the regularities on the $\bar{\partial}$-Neumann problem

Complex Variables 2019-06-04 v1 Analysis of PDEs

Abstract

We show, under an assumption on the weakly pseudoconvex points, the trivial Diederich--Forn\ae ss index directly implies the global regularities of the ˉ\bar{\partial}-Neumann operators.

Keywords

Cite

@article{arxiv.1906.00315,
  title  = {The Diederich--Forn\ae ss index and the regularities on the $\bar{\partial}$-Neumann problem},
  author = {Bingyuan Liu},
  journal= {arXiv preprint arXiv:1906.00315},
  year   = {2019}
}