Extension of Solutions to Holomorphic Partial Differential Equations
Analysis of PDEs
2013-02-07 v1
Abstract
Given a strictly pseudoconvex domain G and a linear partial differential operator P with holomorphic coefficients, we derive sufficient conditions for the existence of a solution to Pu = 0 which is holomorphic in G near a point p in the boundary or G, but cannot be extended holomorphically across p.
Cite
@article{arxiv.1302.1227,
title = {Extension of Solutions to Holomorphic Partial Differential Equations},
author = {Jonathan Armel and Peter Ebenfelt},
journal= {arXiv preprint arXiv:1302.1227},
year = {2013}
}
Comments
8 pages, no figures, LaTeX2e. Mostly work from Armel's thesis