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DC Field | Value | Language |
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dc.contributor.author | Abatangelo, Nicola | - |
dc.contributor.author | Ros, Xavier | - |
dc.date.accessioned | 2023-02-24T17:47:50Z | - |
dc.date.available | 2023-02-24T17:47:50Z | - |
dc.date.issued | 2020-01-22 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | http://hdl.handle.net/2445/194137 | - |
dc.description.abstract | We study the higher regularity of free boundaries in obstacle problems for integrodifferential 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 $k=1$ ). | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier B.V. | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1016/j.aim.2019.106931 | - |
dc.relation.ispartof | Advances in Mathematics, 2020, vol. 360, num. Article 106931, p. 106931 | - |
dc.relation.uri | https://doi.org/10.1016/j.aim.2019.106931 | - |
dc.rights | cc-by-nc-nd (c) Elsevier B.V., 2020 | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Operadors integrals | - |
dc.subject.classification | Operadors diferencials | - |
dc.subject.classification | Teoria d'operadors | - |
dc.subject.classification | Equacions en derivades parcials | - |
dc.subject.other | Integral operators | - |
dc.subject.other | Differential operators | - |
dc.subject.other | Operator theory | - |
dc.subject.other | Partial differential equations | - |
dc.title | Obstacle problems for integro-differential operators: Higher regularity of free boundaries | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 707838 | - |
dc.date.updated | 2023-02-24T17:47:50Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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707838.pdf | 614.13 kB | Adobe PDF | View/Open |
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