Abstract
The global equi-continuity estimate on L p -viscosity solutions of parabolic bilateral obstacle problems with unbounded ingredients is established when obstacles are merely continuous. The existence of L p -viscosity solutions is established via an approximation of given data. The local Hölder continuity estimate on the space derivative of L p -viscosity solutions is shown when the obstacles belong to C 1 , β , and p > n + 2 .
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