NEUMANN PROBLEM FOR NON-DIVERGENCE ELLIPTIC AND PARABOLIC EQUATIONS WITH BMOx COEFFICIENTS IN WEIGHTED SOBOLEV SPACES
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Doyoon | - |
dc.contributor.author | Dong, Hongjie | - |
dc.contributor.author | Zhang, Hong | - |
dc.date.accessioned | 2021-09-03T20:49:58Z | - |
dc.date.available | 2021-09-03T20:49:58Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2016-09 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/87731 | - |
dc.description.abstract | We prove the unique solvability in weighted Sobolev spaces of non divergence form elliptic and parabolic equations on a half space with the homogeneous Neumann boundary condition. All the leading coefficients are assumed to be only measurable in the time variable and have small mean oscillations in the spatial variables. Our results can be applied to Neumann boundary value problems for stochastic partial differential equations with BMOx coefficients. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.subject | GLOBAL WELL-POSEDNESS | - |
dc.subject | 2D BOUSSINESQ EQUATIONS | - |
dc.subject | INITIAL-BOUNDARY VALUE | - |
dc.subject | THERMAL-DIFFUSIVITY | - |
dc.subject | SYSTEM | - |
dc.subject | REGULARITY | - |
dc.subject | VISCOSITY | - |
dc.subject | DISSIPATION | - |
dc.title | NEUMANN PROBLEM FOR NON-DIVERGENCE ELLIPTIC AND PARABOLIC EQUATIONS WITH BMOx COEFFICIENTS IN WEIGHTED SOBOLEV SPACES | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Doyoon | - |
dc.identifier.doi | 10.3934/dcds.2016011 | - |
dc.identifier.scopusid | 2-s2.0-84969168149 | - |
dc.identifier.wosid | 000378378600011 | - |
dc.identifier.bibliographicCitation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.36, no.9, pp.4895 - 4914 | - |
dc.relation.isPartOf | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.citation.title | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.citation.volume | 36 | - |
dc.citation.number | 9 | - |
dc.citation.startPage | 4895 | - |
dc.citation.endPage | 4914 | - |
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 | GLOBAL WELL-POSEDNESS | - |
dc.subject.keywordPlus | 2D BOUSSINESQ EQUATIONS | - |
dc.subject.keywordPlus | INITIAL-BOUNDARY VALUE | - |
dc.subject.keywordPlus | THERMAL-DIFFUSIVITY | - |
dc.subject.keywordPlus | SYSTEM | - |
dc.subject.keywordPlus | REGULARITY | - |
dc.subject.keywordPlus | VISCOSITY | - |
dc.subject.keywordPlus | DISSIPATION | - |
dc.subject.keywordAuthor | L-p estimates | - |
dc.subject.keywordAuthor | weighted Sobolev spaces | - |
dc.subject.keywordAuthor | parabolic equations | - |
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.