D. E. Apushkinskaya, N. N. Uraltseva, “Uniform estimates near the initial state for solutions of the two-phase parabolic problem”, Algebra i Analiz, 2013, Volume 25, Issue 2,Pages <nobr>63

This article is cited in 4 papers

Research Papers

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

D. E. Apushkinskaya, N. N. Uraltseva

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 $C^{1,1}$.

Keywords: two-phase parabolic obstacle problem, free boundary, optimal regularity.

Received: 27.09.2012

Language: English