A BMO estimate for stochastic singular integral operators and its application to SPDEs
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Ildoo | - |
dc.date.accessioned | 2021-09-04T12:53:22Z | - |
dc.date.available | 2021-09-04T12:53:22Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2015-09-01 | - |
dc.identifier.issn | 0022-1236 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/92523 | - |
dc.description.abstract | In this paper, we investigate kernel conditions on K(t,s,infinity) so that the stochastic singular integral operator integral K-t(0)(t,s,.)*g(s,.)(x) dw(s) has a bounded mean oscillation. As an application we prove that for the solution u of the stochastic heat equation du(t) (x) = a(ij)(t)u(x)i(x)jdt + g(t)(k)(x)dw(t)(k)), u(0)= 0 t <= T (0.1) the q-th order BMO quasi-norm of the derivatives of u is controlled by parallel to g parallel to L-infinity. (C) 2015 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | A BMO estimate for stochastic singular integral operators and its application to SPDEs | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Ildoo | - |
dc.identifier.doi | 10.1016/j.jfa.2015.05.015 | - |
dc.identifier.scopusid | 2-s2.0-84937515472 | - |
dc.identifier.wosid | 000359033300004 | - |
dc.identifier.bibliographicCitation | JOURNAL OF FUNCTIONAL ANALYSIS, v.269, no.5, pp.1289 - 1309 | - |
dc.relation.isPartOf | JOURNAL OF FUNCTIONAL ANALYSIS | - |
dc.citation.title | JOURNAL OF FUNCTIONAL ANALYSIS | - |
dc.citation.volume | 269 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 1289 | - |
dc.citation.endPage | 1309 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Stochastic singular integral operator | - |
dc.subject.keywordAuthor | Stochastic partial differential | - |
dc.subject.keywordAuthor | equations BMO (bounded mean oscillation) | - |
dc.subject.keywordAuthor | estimates | - |
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