Global existence of classical solutions for a nonlocal one dimensional parabolic free boundary problem

Rossitza Semerdjieva

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arXiv · 1211.0894

Global existence of classical solutions for a nonlocal one dimensional parabolic free boundary problem

Rossitza Semerdjieva

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Abstract

In this paper we study one dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. We establish global existence-uniqueness of classical solutions assuming that the initial-boundary data are sufficiently smooth and satisfy some compatibility conditions. Our approach is based on analysis of an equivalent system of nonlinear integral equations.

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Rossitza Semerdjieva. 2012-11-05. Global existence of classical solutions for a nonlocal one dimensional parabolic free boundary problem. https://arxiv.org/abs/1211.0894

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