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 $C^{1,\beta }$, and $p>n+2$.

中文翻译：

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在大号^p的抛物线双边障碍问题无界成分-粘度的解决方案

全局等连续性估计 ${升}^{磷}$-当障碍物仅是连续的时，建立了具有无限成分的抛物线双边障碍物问题的粘度解。的存在${升}^{磷}$- 粘度解决方案是通过给定数据的近似值建立的。空间导数的局部 Hölder 连续性估计${升}^{磷}$-当障碍物属于时显示粘度解决方案 $C^{1,\beta }$， 和 $磷>n+2$.