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A regularity theory for quasi-linear Stochastic PDEs in weighted Sobolev spaces
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kim, Ildoo | - |
| dc.contributor.author | Kim, Kyeong-Hun | - |
| dc.date.accessioned | 2021-09-02T15:10:54Z | - |
| dc.date.available | 2021-09-02T15:10:54Z | - |
| dc.date.created | 2021-06-16 | - |
| dc.date.issued | 2018-02 | - |
| dc.identifier.issn | 0304-4149 | - |
| dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/77444 | - |
| dc.description.abstract | We study the second-order quasi-linear stochastic partial differential equations (SPDEs) defined on C-1-domains. The coefficients are random functions depending on t, x and the unknown solutions. We prove the uniqueness and existence of solutions in appropriate Sobolev spaces, and in addition, we obtain L-p and Holder estimates of both the solution and its gradient. (C) 2017 Elsevier B.V. All rights reserved. | - |
| dc.language | English | - |
| dc.language.iso | en | - |
| dc.publisher | ELSEVIER SCIENCE BV | - |
| dc.subject | PARTIAL-DIFFERENTIAL-EQUATIONS | - |
| dc.subject | DOMAINS | - |
| dc.subject | SPDES | - |
| dc.title | A regularity theory for quasi-linear Stochastic PDEs in weighted Sobolev spaces | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Kim, Ildoo | - |
| dc.contributor.affiliatedAuthor | Kim, Kyeong-Hun | - |
| dc.identifier.doi | 10.1016/j.spa.2017.06.006 | - |
| dc.identifier.scopusid | 2-s2.0-85023625298 | - |
| dc.identifier.wosid | 000423887100010 | - |
| dc.identifier.bibliographicCitation | STOCHASTIC PROCESSES AND THEIR APPLICATIONS, v.128, no.2, pp.622 - 643 | - |
| dc.relation.isPartOf | STOCHASTIC PROCESSES AND THEIR APPLICATIONS | - |
| dc.citation.title | STOCHASTIC PROCESSES AND THEIR APPLICATIONS | - |
| dc.citation.volume | 128 | - |
| dc.citation.number | 2 | - |
| dc.citation.startPage | 622 | - |
| dc.citation.endPage | 643 | - |
| 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 | DOMAINS | - |
| dc.subject.keywordPlus | SPDES | - |
| dc.subject.keywordAuthor | Nonlinear stochastic partial differential equations | - |
| dc.subject.keywordAuthor | Equations of divergence type | - |
| dc.subject.keywordAuthor | Weighted Sobolev space | - |
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