L-q-Estimates for stationary Stokes system with coefficients measurable in one direction
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Dong, Hongjie | - |
dc.contributor.author | Kim, Doyoon | - |
dc.date.accessioned | 2021-09-01T17:05:27Z | - |
dc.date.available | 2021-09-01T17:05:27Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2019-04 | - |
dc.identifier.issn | 1664-3607 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/66536 | - |
dc.description.abstract | We study the stationary Stokes system with variable coefficients in the whole space, a half space, and on bounded Lipschitz domains. In the whole and half spaces, we obtain a priori (W) over dot(q)(1)-estimates for any q is an element of[2, infinity) when the coefficients are merely measurable functions in one fixed direction. For the system on bounded Lipschitz domains with a small Lipschitz constant, we obtain a W-q(1)-estimate and prove the solvability for any q is an element of(1, infinity) when the coefficients are merely measurable functions in one direction and have locally small mean oscillations in the orthogonal directions in each small ball, where the direction is allowed to depend on the ball. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | DIFFERENTIAL-EQUATIONS | - |
dc.subject | DIRICHLET PROBLEM | - |
dc.subject | REGULARITY | - |
dc.subject | OPERATOR | - |
dc.subject | SPACES | - |
dc.subject | VMO | - |
dc.title | L-q-Estimates for stationary Stokes system with coefficients measurable in one direction | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Doyoon | - |
dc.identifier.doi | 10.1142/S1664360719500048 | - |
dc.identifier.scopusid | 2-s2.0-85065607278 | - |
dc.identifier.wosid | 000467726700004 | - |
dc.identifier.bibliographicCitation | BULLETIN OF MATHEMATICAL SCIENCES, v.9, no.1 | - |
dc.relation.isPartOf | BULLETIN OF MATHEMATICAL SCIENCES | - |
dc.citation.title | BULLETIN OF MATHEMATICAL SCIENCES | - |
dc.citation.volume | 9 | - |
dc.citation.number | 1 | - |
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 | - |
dc.subject.keywordPlus | DIFFERENTIAL-EQUATIONS | - |
dc.subject.keywordPlus | DIRICHLET PROBLEM | - |
dc.subject.keywordPlus | REGULARITY | - |
dc.subject.keywordPlus | OPERATOR | - |
dc.subject.keywordPlus | SPACES | - |
dc.subject.keywordPlus | VMO | - |
dc.subject.keywordAuthor | Stokes systems | - |
dc.subject.keywordAuthor | boundary value problem | - |
dc.subject.keywordAuthor | measurable coefficients | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
(02841) 서울특별시 성북구 안암로 14502-3290-1114
COPYRIGHT © 2021 Korea University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.