Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations
arXiv:1301.6534 · doi:10.1007/s00030-014-0280-3
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 Hölder class for the boundary conditions in the Cauchy-Dirichlet problem for a degenerate parabolic equation.
The final publication is available at Springer via http://dx.doi.org/10.1007/s00030-014-0280-3