Abstract
We study a two-phase free boundary problem in which the speed of the free boundary depends also on its curvature. It is assumed that the free boundary is Lipschitz and it is proved that the solution as well as the free boundary are classical.
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Athanasopoulos, I., Caffarelli, L.A. & Salsa, S. Stefan-like problems with curvature. J Geom Anal 13, 21–27 (2003). https://doi.org/10.1007/BF02930993
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DOI: https://doi.org/10.1007/BF02930993