We study the obstacle problem for parabolic operators of the type , where L is an elliptic integro-differential operator of order 2s, such as , in the supercritical regime . The best result in this context was due to Caffarelli and Figalli, who established the regularity of solutions for the case , the same regularity as in the elliptic setting.

中文翻译：

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超临界抛物线障碍问题的最优正则性

我们研究抛物线算子的障碍问题，其中L是 2 s阶椭圆积分微分算子，例如，在超临界状态下。在这方面最好的成绩要归功于卡法雷利和菲加利，他们建立了案例解决方案的规律性，与椭圆设置中的规律相同。