Symmetries in an overdetermined problem for the Green's function
Analysis of PDEs
2009-12-11 v1
Abstract
We consider in the plane the problem of reconstructing a domain from the normal derivative of its Green's function with pole at a fixed point in the domain. By means of the theory of conformal mappings, we obtain existence, uniqueness, (non-spherical) symmetry results, and a formula relating the curvature of the boundary of the domain to the normal derivative of its Green's function.
Cite
@article{arxiv.0912.1935,
title = {Symmetries in an overdetermined problem for the Green's function},
author = {Virginia Agostiniani and Rolando Magnanini},
journal= {arXiv preprint arXiv:0912.1935},
year = {2009}
}
Comments
10 pages