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http://hdl.handle.net/2445/194048
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DC Field | Value | Language |
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dc.contributor.author | Garofalo, Nicola | - |
dc.contributor.author | Ros, Xavier | - |
dc.date.accessioned | 2023-02-23T14:02:24Z | - |
dc.date.available | 2023-02-23T14:02:24Z | - |
dc.date.issued | 2019-06-05 | - |
dc.identifier.issn | 0213-2230 | - |
dc.identifier.uri | http://hdl.handle.net/2445/194048 | - |
dc.description.abstract | We study the singular part of the free boundary in the obstacle problem for the fractional Laplacian, $\min \left\{(-\Delta)^s u, u-\varphi\right\}=0$ in $\mathbb{R}^n$, for general obstacles $\varphi$. Our main result establishes the complete structure and regularity of the singular set. To prove it, we construct new monotonicity formulas of Monneau-type that extend those in those of Garofalo-Petrosyan to all $s \in(0,1)$. | - |
dc.format.extent | 57 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | European Mathematical Society Publishing House | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.4171/RMI/1087 | - |
dc.relation.ispartof | Revista Matematica Iberoamericana, 2019, vol. 35, num. 5, p. 1309-1365 | - |
dc.relation.uri | https://doi.org/10.4171/RMI/1087 | - |
dc.rights | (c) European Mathematical Society Publishing House, 2019 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Operadors diferencials parcials | - |
dc.subject.classification | Teoria d'operadors | - |
dc.subject.classification | Equacions en derivades parcials | - |
dc.subject.classification | Processos estocàstics | - |
dc.subject.other | Partial differential operators | - |
dc.subject.other | Operator theory | - |
dc.subject.other | Partial differential equations | - |
dc.subject.other | Stochastic processes | - |
dc.title | Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 708573 | - |
dc.date.updated | 2023-02-23T14:02:24Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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708573.pdf | 657.54 kB | Adobe PDF | View/Open |
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