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Stability in an overdetermined problem for the Green's function

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.

preprint2010arXivOpen access
Virginia AgostinianiRolando Magnanini
math.AP
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Virginia AgostinianiRolando Magnanini

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