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Sobolev space theory of SPDEs with continuous or measurable leading coefficients
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kim, Kyeong-Hun | - |
| dc.date.accessioned | 2021-09-08T21:11:18Z | - |
| dc.date.available | 2021-09-08T21:11:18Z | - |
| dc.date.created | 2021-06-10 | - |
| dc.date.issued | 2009-01 | - |
| dc.identifier.issn | 0304-4149 | - |
| dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/120852 | - |
| dc.description.abstract | We study stochastic partial differential equations with variable coefficients defined on R-d, R-+(d) and bounded C-1 domains. For equations with continuous leading coefficients we give existence and uniqueness results in L-q(L-p)-spaces, where it is allowed for the powers of summability with respect to space and time variables to be different. For equations with measurable leading coefficients we give unique solvability in L-p-spaces. (C) 2008 Elsevier B.V. All rights reserved. | - |
| dc.language | English | - |
| dc.language.iso | en | - |
| dc.publisher | ELSEVIER | - |
| dc.subject | PARTIAL-DIFFERENTIAL-EQUATIONS | - |
| dc.subject | ELLIPTIC-EQUATIONS | - |
| dc.title | Sobolev space theory of SPDEs with continuous or measurable leading coefficients | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Kim, Kyeong-Hun | - |
| dc.identifier.doi | 10.1016/j.spa.2008.01.009 | - |
| dc.identifier.scopusid | 2-s2.0-57149100814 | - |
| dc.identifier.wosid | 000262548300002 | - |
| dc.identifier.bibliographicCitation | STOCHASTIC PROCESSES AND THEIR APPLICATIONS, v.119, no.1, pp.16 - 44 | - |
| dc.relation.isPartOf | STOCHASTIC PROCESSES AND THEIR APPLICATIONS | - |
| dc.citation.title | STOCHASTIC PROCESSES AND THEIR APPLICATIONS | - |
| dc.citation.volume | 119 | - |
| dc.citation.number | 1 | - |
| dc.citation.startPage | 16 | - |
| dc.citation.endPage | 44 | - |
| 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 | PARTIAL-DIFFERENTIAL-EQUATIONS | - |
| dc.subject.keywordPlus | ELLIPTIC-EQUATIONS | - |
| dc.subject.keywordAuthor | Stochastic partial differential equations | - |
| dc.subject.keywordAuthor | L-q(L-p)-theory | - |
| dc.subject.keywordAuthor | L-p-theory | - |
| dc.subject.keywordAuthor | Sobolev spaces with weights | - |
| dc.subject.keywordAuthor | Measurable coefficients | - |
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