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arXiv · 1411.4637

Perron's solutions for two-phase free boundary problems with distributed sources

Daniela De Silva·Fausto Ferrari·Sandro Salsa
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Abstract

We use Perron method to construct a weak solution to a two-phase free boundary problem with right-hand-side. We thus extend the results of the pioneer work of Caffarelli for the homogeneous case.

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Daniela De Silva, Fausto Ferrari, Sandro Salsa. 2014-11-17. Perron's solutions for two-phase free boundary problems with distributed sources. https://arxiv.org/abs/1411.4637

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