论文标题
与奇异多孔介质方程相关的障碍问题的较高可集成性
Higher integrability for obstacle problem related to the singular porous medium equation
论文作者
论文摘要
本文涉及与奇异多孔介质方程相关的障碍问题的自我改善属性。我们在障碍函数的一些适当的规律性假设下，为非负弱解决方案的$ M $ TH幂的空间梯度建立了局部较高的可集成性结果。
This paper is concerned with the self-improving property for obstacle problem related to the singular porous medium equation. We establish a local higher integrability result for the spatial gradient of the $m$-th power of nonnegative weak solutions, under some suitable regularity assumptions on the obstacle function.
