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arXiv · 1211.2219

Regularity of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem

Rossitza Semerdjieva
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Abstract

We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on $C^m$-regularity of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary is given.

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Rossitza Semerdjieva. 2013-08-20. Regularity of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem. https://arxiv.org/abs/1211.2219

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