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http://hdl.handle.net/2445/194027
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DC Field | Value | Language |
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dc.contributor.author | Ros, Xavier | - |
dc.contributor.author | Serra Montolí, Joaquim | - |
dc.date.accessioned | 2023-02-23T13:48:23Z | - |
dc.date.available | 2023-02-23T13:48:23Z | - |
dc.date.issued | 2019-10 | - |
dc.identifier.issn | 0926-2601 | - |
dc.identifier.uri | http://hdl.handle.net/2445/194027 | - |
dc.description.abstract | We prove a boundary Harnack inequality for nonlocal elliptic operators $L$ in non-divergence form with bounded measurable coefficients. Namely, our main result establishes that if $L u_1=$ $L u_2=0$ in $\Omega \cap B_1, u_1=u_2=0$ in $B_1 \backslash \Omega$, and $u_1, u_2 \geq 0$ in $\mathbb{R}^n$, then $u_1$ and $u_2$ are comparable in $B_{1 / 2}$. The result applies to arbitrary open sets $\Omega$. When $\Omega$ is Lipschitz, we show that the quotient $u_1 / u_2$ is Hölder continuous up to the boundary in $B_{1 / 2}$. These results will be used in forthcoming works on obstacle-type problems for nonlocal operators. | - |
dc.format.extent | 17 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Verlag | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1007/s11118-018-9713-7 | - |
dc.relation.ispartof | Potential Analysis, 2019, vol. 51, p. 315-331 | - |
dc.relation.uri | https://doi.org/10.1007/s11118-018-9713-7 | - |
dc.rights | (c) Springer Verlag, 2019 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria d'operadors | - |
dc.subject.classification | Equacions diferencials parcials estocàstiques | - |
dc.subject.classification | Processos estocàstics | - |
dc.subject.classification | Anàlisi global (Matemàtica) | - |
dc.subject.other | Operator theory | - |
dc.subject.other | Stochastic partial differential equations | - |
dc.subject.other | Stochastic processes | - |
dc.subject.other | Global analysis (Mathematics) | - |
dc.title | The Boundary Harnack Principle for Nonlocal Elliptic Operators in Non-divergence Form | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 708574 | - |
dc.date.updated | 2023-02-23T13:48:23Z | - |
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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708574.pdf | 378.46 kB | Adobe PDF | View/Open |
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