UNIFORM ESTIMATES NEAR THE INITIAL STATE FOR SOLUTIONS OF THE TWO-PHASE PARABOLIC PROBLEM

作者：Apushkinskaya D E^*; Uraltseva N N

来源：St Petersburg Mathematical Journal, 2014, 25(2): 195-203.

DOI：10.1090/S1061-0022-2014-01285-X

• Two-phase parabolic obstacle problem
• free boundary
• optimal regularity

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,C-1.

• 出版日期2014-4