Local solvability of a one-phase problem with free boundary
A certain one-phase problem with free boundary is studied. The local (in time) solvability of this problem is proved; moreover, the general method elaborated is applied in a more concrete case. For this purpose, a new change of variables and the parametrization of the boundary are introduced, and the problem studied is reduced to a problem in a constant domain.
KeywordsFree Boundary Hyperbolic System Variable Domain Stefan Problem Concrete Case
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