A WEIGHTED L-p-THEORY FOR SECOND-ORDER PARABOLIC AND ELLIPTIC PARTIAL DIFFERENTIAL SYSTEMS ON A HALF SPACE
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Kyeong-Hun | - |
dc.contributor.author | Lee, Kijung | - |
dc.date.accessioned | 2021-09-04T00:18:45Z | - |
dc.date.available | 2021-09-04T00:18:45Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2016-05 | - |
dc.identifier.issn | 1534-0392 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/88844 | - |
dc.description.abstract | this article we consider parabolic systems and L-p regularity of the solutions. With zero boundary condition the solutions experience bad regularity near the boundary. This article addresses a possible way of describing the regularity nature. Our space domain is a half space and we adapt an appropriate weight into our function spaces. In this weighted Sobolev space setting we develop a Fefferman-Stein theorem, a Hardy-Littlewood theorem and sharp function estimations. Using these, we prove uniqueness and existence results for second-order elliptic and parabolic partial differential systems in weighed Sobolev spaces. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.subject | DIRICHLET PROBLEM | - |
dc.subject | EQUATIONS | - |
dc.subject | SPDES | - |
dc.title | A WEIGHTED L-p-THEORY FOR SECOND-ORDER PARABOLIC AND ELLIPTIC PARTIAL DIFFERENTIAL SYSTEMS ON A HALF SPACE | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Kyeong-Hun | - |
dc.identifier.doi | 10.3934/cpaa.2016.15.761 | - |
dc.identifier.scopusid | 2-s2.0-84958752695 | - |
dc.identifier.wosid | 000373479100004 | - |
dc.identifier.bibliographicCitation | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.15, no.3, pp.761 - 794 | - |
dc.relation.isPartOf | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | - |
dc.citation.title | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | - |
dc.citation.volume | 15 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 761 | - |
dc.citation.endPage | 794 | - |
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 | DIRICHLET PROBLEM | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | SPDES | - |
dc.subject.keywordAuthor | Elliptic partial differential systems | - |
dc.subject.keywordAuthor | parabolic partial differential systems | - |
dc.subject.keywordAuthor | weighted Sobolev spaces | - |
dc.subject.keywordAuthor | L-p-theory | - |
dc.subject.keywordAuthor | Fefferman-Stein theorem | - |
dc.subject.keywordAuthor | Hardy-Littlewood theorem | - |
dc.subject.keywordAuthor | sharp function estimates. | - |
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