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A BMO estimate for stochastic singular integral operators and its application to SPDEs

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dc.contributor.authorKim, Ildoo-
dc.date.accessioned2021-09-04T12:53:22Z-
dc.date.available2021-09-04T12:53:22Z-
dc.date.created2021-06-18-
dc.date.issued2015-09-01-
dc.identifier.issn0022-1236-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/92523-
dc.description.abstractIn 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.languageEnglish-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleA BMO estimate for stochastic singular integral operators and its application to SPDEs-
dc.typeArticle-
dc.contributor.affiliatedAuthorKim, Ildoo-
dc.identifier.doi10.1016/j.jfa.2015.05.015-
dc.identifier.scopusid2-s2.0-84937515472-
dc.identifier.wosid000359033300004-
dc.identifier.bibliographicCitationJOURNAL OF FUNCTIONAL ANALYSIS, v.269, no.5, pp.1289 - 1309-
dc.relation.isPartOfJOURNAL OF FUNCTIONAL ANALYSIS-
dc.citation.titleJOURNAL OF FUNCTIONAL ANALYSIS-
dc.citation.volume269-
dc.citation.number5-
dc.citation.startPage1289-
dc.citation.endPage1309-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordAuthorStochastic singular integral operator-
dc.subject.keywordAuthorStochastic partial differential-
dc.subject.keywordAuthorequations BMO (bounded mean oscillation)-
dc.subject.keywordAuthorestimates-
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