Global-time existence of maximal weak solutions to the supercooled Stefan problem is shown in arbitrary dimensions by characterizing solutions via dual attainment in a free-target optimal stopping problem for Brownian motion.
Frank and Elliott H
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Existence for the Supercooled Stefan Problem in General Dimensions
Global-time existence of maximal weak solutions to the supercooled Stefan problem is shown in arbitrary dimensions by characterizing solutions via dual attainment in a free-target optimal stopping problem for Brownian motion.