Determination of the Unknown Boundary Conditions in a Two-phase Stefan Problem

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Abstract

A two-phase Stefan problem with the heat flux boundary conditions, including an unknown function f, is considered. The existence, uniqueness, and continuous dependence upon the initial data of the solution (f, s, u_1, u_2) are proved.

Keywords:

Unknown boundary oondiUons;two-phase Stefan problem
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Determination of the Unknown Boundary Conditions in a Two-phase Stefan Problem. (1995). Journal of Partial Differential Equations, 8(3), 249-260. https://global-sci.com/index.php/jpde/article/view/3800