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Abstract: We consider in the plane the problem of reconstructing a domain from thenormal derivative of its Green-s function with pole at a fixed point in thedomain. By means of the theory of conformal mappings, we obtain existence,uniqueness, non-spherical symmetry results, and a formula relating thecurvature of the boundary of the domain to the normal derivative of its Green-sfunction.



Author: Virginia Agostiniani, Rolando Magnanini

Source: https://arxiv.org/







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