The two-phase Stefan problem: regularization near Lipschitz initial data by phase dynamics

Authors :: Inwon Kim
Sunhi Choi
Source :: Anal. PDE 5, no. 5 (2012), 1063-1103
Publication Year :: 2012
Publisher :: MSP, 2012.
Abstract: 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.

Subjects :: Numerical Analysis
Phase transition
viscosity solutions
Applied Mathematics
Mathematical analysis
Stefan problem
Mathematics::Analysis of PDEs
Lipschitz continuity
Regularization (mathematics)
free boundary problem
76D27
Phase dynamics
phase transition
35K55
Free boundary problem
regularity near initial data
Analysis
Mathematics
35R35

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