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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2001.01145 |
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| _version_ | 1866908603185627136 |
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| author | Marcon, Diego Teymurazyan, Rafayel |
| author_facet | Marcon, Diego Teymurazyan, Rafayel |
| contents | We prove optimal regularity and derive several geometric properties for solutions of a free boundary problem with fractional diffusion. Additionally, we deduce local $C^{1,α}$ regularity results for the corresponding interior and exterior free boundaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_01145 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Non-local diffusion with free boundaries Marcon, Diego Teymurazyan, Rafayel Analysis of PDEs We prove optimal regularity and derive several geometric properties for solutions of a free boundary problem with fractional diffusion. Additionally, we deduce local $C^{1,α}$ regularity results for the corresponding interior and exterior free boundaries. |
| title | Non-local diffusion with free boundaries |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2001.01145 |