Uniform estimates near the initial state for solutions of the two-phase parabolic problem

Apushkinskaya, D.; Uraltseva, N.

doi:10.1090/S1061-0022-2014-01285-X

Uniform estimates near the initial state for solutions of the two-phase parabolic problem
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by D. E. Apushkinskaya and N. N. Uraltseva

St. Petersburg Math. J. 25 (2014), 195-203

DOI: https://doi.org/10.1090/S1061-0022-2014-01285-X

Published electronically: March 12, 2014

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Abstract:

Optimal regularity near the initial state is established for weak solutions of the two-phase parabolic obstacle problem. The approach is sufficiently general to allow the initial data to belong to the class $C^{1,1}$.

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