Dirichlet's problem with entire data posed on an ellipsoidal cylinder
Analysis of PDEs
2016-02-10 v1
Abstract
We consider the Dirichlet problem in an ellipsoidal cylinder when the data function is entire. Under an additional assumption that the order of the data function is less than one, we show that there is a solution that extends as an entire harmonic function.
Cite
@article{arxiv.1602.02837,
title = {Dirichlet's problem with entire data posed on an ellipsoidal cylinder},
author = {Dmitry Khavinson and Erik Lundberg and Hermann Render},
journal= {arXiv preprint arXiv:1602.02837},
year = {2016}
}
Comments
7 pages