Regularity results for an elliptic-parabolic free boundary problem

Bertsch, M.; Hulshof, J.

doi:10.1090/S0002-9947-1986-0849483-0

Regularity results for an elliptic-parabolic free boundary problem
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by M. Bertsch and J. Hulshof PDF

Trans. Amer. Math. Soc. 297 (1986), 337-350 Request permission

Abstract:

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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