An L-p-theory for stochastic partial differential equations driven by Levy processes with pseudo-differential operators of arbitrary order
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Ildoo | - |
dc.contributor.author | Kim, Kyeong-Hun | - |
dc.date.accessioned | 2021-09-03T20:12:26Z | - |
dc.date.available | 2021-09-03T20:12:26Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2016-09 | - |
dc.identifier.issn | 0304-4149 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/87564 | - |
dc.description.abstract | In this article we present uniqueness, existence, and L-p-estimates of the quasilinear stochastic partial differential equations driven by Levy processes of the type du = (Lu + F(u))dt + G(k)(u)dZ(t)(k), (0.1) where L is a pseudo-differential operator and Z(k) are independent Levy processes (k = 1, 2, . . .). The operator L is random and may depend also on time and space variables. In particular, our results include an L-p-theory of 2m-order SPDEs with coefficients measurable in (omega, t) and continuous in x. (C) 2016 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | BMO COEFFICIENTS | - |
dc.subject | REGULARITY | - |
dc.subject | SYSTEMS | - |
dc.title | An L-p-theory for stochastic partial differential equations driven by Levy processes with pseudo-differential operators of arbitrary order | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Ildoo | - |
dc.contributor.affiliatedAuthor | Kim, Kyeong-Hun | - |
dc.identifier.doi | 10.1016/j.spa.2016.03.001 | - |
dc.identifier.scopusid | 2-s2.0-84961774317 | - |
dc.identifier.wosid | 000381164000009 | - |
dc.identifier.bibliographicCitation | STOCHASTIC PROCESSES AND THEIR APPLICATIONS, v.126, no.9, pp.2761 - 2786 | - |
dc.relation.isPartOf | STOCHASTIC PROCESSES AND THEIR APPLICATIONS | - |
dc.citation.title | STOCHASTIC PROCESSES AND THEIR APPLICATIONS | - |
dc.citation.volume | 126 | - |
dc.citation.number | 9 | - |
dc.citation.startPage | 2761 | - |
dc.citation.endPage | 2786 | - |
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 | Statistics & Probability | - |
dc.subject.keywordPlus | BMO COEFFICIENTS | - |
dc.subject.keywordPlus | REGULARITY | - |
dc.subject.keywordPlus | SYSTEMS | - |
dc.subject.keywordAuthor | Stochastic partial differential equations driven by Levy processes | - |
dc.subject.keywordAuthor | L-p-theory | - |
dc.subject.keywordAuthor | Pseudo-differential operator | - |
dc.subject.keywordAuthor | High-order operators | - |
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