Transactions of the American Mathematical Society · 1986 · 57 citations · 5 references
Natural SciencesComputational EngineeringTopologyBoundary ConditionsBoundary-value ProblemsMoving Boundary ProblemsPartial Differential EquationsWeak FormulationBoundary ProblemElliptic Boundary-value ProblemsFree-boundary ProblemsParabolic Boundary-value ProblemsRegularity CriteriaRegularity TheoryWeak Boundary Conditions
We study an elliptic-parabolic free boundary problem in one space dimension. We give several regularity results for both the weak solution and the free boundary. In particular conditions are given which ensure that the free boundary is a ${C^1}$-curve.
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An elliptic-parabolic free boundary problem
J. Hulshof, L. A. Peletier · Nonlinear Analysis · 1986 · 30 citations