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Existence of the classic solution of a two phase multidimensional Stefan problem on any finite time interval. (English) Zbl 0818.35144

Antontsev, S. N. (ed.) et al., Free boundary problems in continuum mechanics. International conference on free boundary problems in continuum mechanics, Novosibirsk, Russia, July 15-19, 1991. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 106, 97-103 (1992).
Summary: A method introduced in this paper makes it possible to prove the existence of the classical solution in a two phase multidimensional Stefan problem on any finite time interval and to establish the smoothness of free (unknown) boundary.
For the entire collection see [Zbl 0807.00016].

MSC:

35R35 Free boundary problems for PDEs
80A22 Stefan problems, phase changes, etc.
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