CONORMAL DERIVATIVE PROBLEMS FOR STATIONARY STOKES SYSTEM IN SOBOLEV SPACES
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Jongkeun | - |
dc.contributor.author | Dong, Hongjie | - |
dc.contributor.author | Kim, Doyoon | - |
dc.date.accessioned | 2021-09-02T11:48:56Z | - |
dc.date.available | 2021-09-02T11:48:56Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2018-05 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/75648 | - |
dc.description.abstract | We prove the solvability in Sobolev spaces of the conormal derivative problem for the stationary Stokes system with irregular coefficients on bounded Reifenberg flat domains. The coefficients are assumed to be merely measurable in one direction, which may differ depending on the local coordinate systems, and have small mean oscillations in the other directions. In the course of the proof, we use a local version of the Poincare inequality on Reifenberg flat domains, the proof of which is of independent interest. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.subject | BOUNDARY-VALUE-PROBLEMS | - |
dc.subject | ELLIPTIC-SYSTEMS | - |
dc.subject | REGULARITY | - |
dc.subject | EQUATIONS | - |
dc.title | CONORMAL DERIVATIVE PROBLEMS FOR STATIONARY STOKES SYSTEM IN SOBOLEV SPACES | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Doyoon | - |
dc.identifier.doi | 10.3934/dcds.2018097 | - |
dc.identifier.scopusid | 2-s2.0-85043574283 | - |
dc.identifier.wosid | 000438816700006 | - |
dc.identifier.bibliographicCitation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.38, no.5, pp.2349 - 2374 | - |
dc.relation.isPartOf | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.citation.title | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.citation.volume | 38 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 2349 | - |
dc.citation.endPage | 2374 | - |
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 | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | BOUNDARY-VALUE-PROBLEMS | - |
dc.subject.keywordPlus | ELLIPTIC-SYSTEMS | - |
dc.subject.keywordPlus | REGULARITY | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordAuthor | Stokes system | - |
dc.subject.keywordAuthor | Reifenberg flat domains | - |
dc.subject.keywordAuthor | measurable coefficients | - |
dc.subject.keywordAuthor | conormal derivative boundary condition | - |
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