Classical Solutions to Phase Transitionproblems
نویسنده
چکیده
We prove that classical C 1-solutions to phase transition problems, which include the two-phase Stefan problem, are smooth. The problem is reduced to a xed domain using von Mises variables. The estimates are obtained by frozen coeecients and new L p estimates for linear parabolic equations with dynamic boundary condition. Crucial ingredients are the observation that a certain function is a Fourier multiplier, an approximation procedure of norms in Besov spaces and Meyer's approach to Nemytskij operators.
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تاریخ انتشار 1996