Loading...
Please wait, while we are loading the content...
Similar Documents
Obstacle problems for integro-differential operators: Higher regularity of free boundaries
| Content Provider | Semantic Scholar |
|---|---|
| Author | Abatangelo, Nicola Ros-Oton, Xavier |
| Copyright Year | 2019 |
| Abstract | We study the higher regularity of free boundaries in obstacle problems for integro-differential operators. Our main result establishes that, once free boundaries are $C^{1,\alpha}$, then they are $C^\infty$. This completes the study of regular points, initiated in [5]. In order to achieve this, we need to establish optimal boundary regularity estimates for solutions to linear nonlocal equations in $C^{k,\alpha}$ domains. These new estimates are the core of our paper, and extend previously known results by Grubb (for $k=\infty$) and by the second author and Serra (for $k=1$). |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.aim.2019.106931 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1909.10339v2.pdf |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/1909.10339 |
| Alternate Webpage(s) | https://kr.arxiv.org/pdf/1909.10339.pdf |
| Alternate Webpage(s) | http://user.math.uzh.ch/ros-oton/articles/Lds-09-2019.pdf |
| Alternate Webpage(s) | http://user.math.uzh.ch/ros-oton/articles/Lds-12-2019.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.aim.2019.106931 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
