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oaioai:edpsciences.org:dkey/10.1051/cocv/2019048

On a two-phase Serrin-type problem and its numerical computation

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Publication date
21 September 2020
Publisher
EDP Sciences
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    Abstract

    We consider an overdetermined problem of Serrin-type with respect to an operator in divergence form with piecewise constant coefficients. We give sufficient condition for unique solvability near radially symmetric configurations by means of a perturbation argument relying on shape derivatives and the implicit function theorem. This problem is also treated numerically, by means of a steepest descent algorithm based on a Kohn–Vogelius functional

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    Last time updated on 10/04/2020

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