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http://hdl.handle.net/2445/142997
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DC Field | Value | Language |
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dc.contributor.author | Sanz-Solé, Marta | - |
dc.contributor.author | Viles, Noèlia | - |
dc.date.accessioned | 2019-10-24T09:39:08Z | - |
dc.date.available | 2019-10-24T09:39:08Z | - |
dc.date.issued | 2017-06 | - |
dc.identifier.issn | 0304-4149 | - |
dc.identifier.uri | http://hdl.handle.net/2445/142997 | - |
dc.description.abstract | We consider a -dimensional random field that solves a system of elliptic stochastic equations on a bounded domain , with additive white noise and spatial dimension . Properties of and its probability law are proved. For Gaussian solutions, using results from Dalang and Sanz-Solé (2009), we establish upper and lower bounds on hitting probabilities in terms of the Hausdorff measure and Bessel-Riesz capacity, respectively. This relies on precise estimates of the canonical distance of the process or, equivalently, on estimates of increments of the Green function of the Laplace equation. | - |
dc.format.extent | 32 p. | - |
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.spa.2017.08.014 | - |
dc.relation.ispartof | Stochastic Processes and their Applications, 2017, vol. 128, num. 6, p. 1857-1888 | - |
dc.relation.uri | https://doi.org/10.1016/j.spa.2017.08.014 | - |
dc.rights | cc-by-nc-nd (c) Elsevier B.V., 2017 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Aplicacions de Gauss | - |
dc.subject.classification | Equacions diferencials parcials estocàstiques | - |
dc.subject.other | Gauss maps | - |
dc.subject.other | Stochastic partial differential equations | - |
dc.title | Systems of stochastic Poisson equations: Hitting probabilities | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 676888 | - |
dc.date.updated | 2019-10-24T09:39:08Z | - |
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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676888.pdf | 322.61 kB | Adobe PDF | View/Open |
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