论文标题
在$ l^p $ - 抛物线解决方案的抛物线双侧障碍物问题中
On $L^p$-viscosity solutions of parabolic bilateral obstacle problems with unbounded ingredients
论文作者
论文摘要
当障碍物仅连续时，确定了抛物线双侧双边障碍物问题的全球等额估计。 $ l^p $ viscosity解决方案的存在是通过给定数据的近似值建立的。当障碍属于$ c^{1，β} $和$ p> n+2 $时，显示了$ l^p $ viscosity解决方案空间衍生物的本地Hölder连续性估计。
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 $p>n+2$.
