Stability in an overdetermined problem for the Green's function

Details Stability in an overdetermined problem for the Green's function Stability in an overdetermined problem for the Green's function

2010-01-10

arxiv.org/abs/1001.1544v1

Mathematics

Analysis of PDEs

10 pages

Scientific paper

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.

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