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arXiv · 1301.6534

Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations

S. P. Degtyarev
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Abstract

We prove locally in time the existence of a smooth solution for multidimensional two-phase Stefan problem for degenerate parabolic equations of the porous medium type. We establish also natural H\"{o}lder class for the boundary conditions in the Cauchy-Dirichlet problem for a degenerate parabolic equation.

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S. P. Degtyarev. 2013-01-28. Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations. https://doi.org/10.1007/s00030-014-0280-3

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