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

Autor:	Degtyarev, S. P.
Rok vydání:	2013
Předmět:	Mathematics - Analysis of PDEs 35R35 35K65 35R37 35K60
Druh dokumentu:	Working Paper
DOI:	10.1007/s00030-014-0280-3
Popis:	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. Comment: The final publication is available at Springer via http://dx.doi.org/10.1007/s00030-014-0280-3
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1301.6534 Zobrazit plný text záznamu View this record from Arxiv