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Optimal regularity for supercritical parabolic obstacle problems
Communications on Pure and Applied Mathematics ( IF 3.1 ) Pub Date : 2023-09-29 , DOI: 10.1002/cpa.22166 Xavier Ros‐Oton 1, 2, 3 , Clara Torres‐Latorre 2
Communications on Pure and Applied Mathematics ( IF 3.1 ) Pub Date : 2023-09-29 , DOI: 10.1002/cpa.22166 Xavier Ros‐Oton 1, 2, 3 , Clara Torres‐Latorre 2
Affiliation
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:
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。
更新日期:2023-09-29
中文翻译:
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