Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations
Analysis of PDEs
2014-10-10 v2
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.
Cite
@article{arxiv.1301.6534,
title = {Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations},
author = {S. P. Degtyarev},
journal= {arXiv preprint arXiv:1301.6534},
year = {2014}
}
Comments
The final publication is available at Springer via http://dx.doi.org/10.1007/s00030-014-0280-3