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Parabolic Littlewood-Paley inequality for a class of time-dependent pseudo-differential operators of arbitrary order, and applications to high-order stochastic PDE

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dc.contributor.authorKim, Ildoo-
dc.contributor.authorKim, Kyeong-Hun-
dc.contributor.authorLim, Sungbin-
dc.date.accessioned2021-09-04T00:45:16Z-
dc.date.available2021-09-04T00:45:16Z-
dc.date.created2021-06-17-
dc.date.issued2016-04-15-
dc.identifier.issn0022-247X-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/88921-
dc.description.abstractIn this paper we prove a parabolic version of the Littlewood-Paley inequality for a class of time-dependent local and non-local operators of arbitrary order, and as an application we show that this inequality gives a fundamental estimate for an L-p-theory of high-order stochastic partial differential equations. (C) 2015 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleParabolic Littlewood-Paley inequality for a class of time-dependent pseudo-differential operators of arbitrary order, and applications to high-order stochastic PDE-
dc.typeArticle-
dc.contributor.affiliatedAuthorKim, Ildoo-
dc.contributor.affiliatedAuthorKim, Kyeong-Hun-
dc.identifier.doi10.1016/j.jmaa.2015.12.040-
dc.identifier.scopusid2-s2.0-84955187926-
dc.identifier.wosid000368974100025-
dc.identifier.bibliographicCitationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.436, no.2, pp.1023 - 1047-
dc.relation.isPartOfJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.citation.titleJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.citation.volume436-
dc.citation.number2-
dc.citation.startPage1023-
dc.citation.endPage1047-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordAuthorParabolic Littlewood-Paley inequality-
dc.subject.keywordAuthorStochastic partial differential equations-
dc.subject.keywordAuthorTime-dependent high order-
dc.subject.keywordAuthoroperators Non-local operators of arbitrary order-
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