SIAM J. Math. Anal.

Inserted: 16 feb 2017
Last Updated: 31 aug 2017

Year: 2017

Abstract:

We study the Cauchy-Dirichlet problem associated to a phase transition modeled upon the degenerate two-phase Stefan problem. We prove that weak solutions are continuous up to the parabolic boundary and quantify the continuity by deriving a modulus. As a byproduct, these a priori regularity results are used to prove the existence of a so-called physical solution.

Download:

• BKLU_final.pdf