Regularity theory for fully nonlinear parabolic obstacle problems
| Autor: | Audrito, Alessandro, Kukuljan, Teo |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | We study the free boundary of solutions to the parabolic obstacle problem with fully nonlinear diffusion. We show that the free boundary splits into a regular and a singular part: near regular points the free boundary is $C^\infty$ in space and time. Furthermore, we prove that the set of singular points is locally covered by a Lipschitz manifold of dimension $n-1$ which is also $\varepsilon$-flat in space, for any $\varepsilon>0$. Comment: 44 pages, a couple of references added respect to the first version |
| Databáze: | arXiv |
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