Stability in an overdetermined problem for the Green's function
Analysis of PDEs
2010-01-12 v1
Abstract
In the plane, we consider the problem of reconstructing a domain from the normal derivative of its Green's function (with fixed pole) relative to the Dirichlet problem for the Laplace operator. By means of the theory of conformal mappings, we derive stability estimates of polynomial type in Holder norms.
Cite
@article{arxiv.1001.1544,
title = {Stability in an overdetermined problem for the Green's function},
author = {Virginia Agostiniani and Rolando Magnanini},
journal= {arXiv preprint arXiv:1001.1544},
year = {2010}
}
Comments
10 pages