In this paper we investigate the regularizing behavior of two-phase Stefan problem near initial Lipschitz data. A description of the regularizing phenomena is given in terms of the corresponding space-time scale.
"The two-phase Stefan problem: regularization near Lipschitz initial data by phase dynamics." Anal. PDE 5 (5) 1063 - 1103, 2012. https://doi.org/10.2140/apde.2012.5.1063