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arXiv · 1512.00915

Regularity of Solutions to a Parabolic Free Boundary Problem with Variable Coefficients

Thomas Backing
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Abstract

The main result of this paper is to prove that viscosity solutions to a parabolic free boundary problem with variable coefficients are Lipschitz continuous under the assumptions that the solution has a Lipschitz free boundary and satisfies a non-degeneracy condition. This is the optimal regularity for this problem.

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Thomas Backing. 2015-12-03. Regularity of Solutions to a Parabolic Free Boundary Problem with Variable Coefficients. https://arxiv.org/abs/1512.00915

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