Optimality in nonlocal time-dependent obstacle problems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866908768866926592 |
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| author | Athanasopoulos, Ioannis Caffarelli, Luis Milakis, Emmanouil |
| author_facet | Athanasopoulos, Ioannis Caffarelli, Luis Milakis, Emmanouil |
| contents | This paper showcases the effectiveness of the quasiconvexity property in addressing the optimal regularity of the temporal derivative and establishes conditions for its continuity in nonlocal time-dependent obstacle problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10417 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Optimality in nonlocal time-dependent obstacle problems Athanasopoulos, Ioannis Caffarelli, Luis Milakis, Emmanouil Analysis of PDEs 35R35, 35R09, 45K05 This paper showcases the effectiveness of the quasiconvexity property in addressing the optimal regularity of the temporal derivative and establishes conditions for its continuity in nonlocal time-dependent obstacle problems. |
| title | Optimality in nonlocal time-dependent obstacle problems |
| topic | Analysis of PDEs 35R35, 35R09, 45K05 |
| url | https://arxiv.org/abs/2601.10417 |