Abstract
The classical two-phase Stefan problem, a model for ice-water melting, gives rise to a singular, nonlinear partial differential equation which admits a unique weak solution. Here we prove that this solution, and therefore the temperature in the Stefan problem, are continuous.
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Communicated by J. Serrin
This work was supported in part by NSF Grant 7406375 A01, by NSF Grant MCS 77-01952, and by the Alfred Sloan Foundation,
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Caffarelli, L.A., Evans, L.C. Continuity of the temperature in the two-phase Stefan problem. Arch. Rational Mech. Anal. 81, 199–220 (1983). https://doi.org/10.1007/BF00250800
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DOI: https://doi.org/10.1007/BF00250800