An approach for weighted mixed-norm estimates for parabolic equations with local and non-local time derivatives
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Dong, Hongjie | - |
dc.contributor.author | Kim, Doyoon | - |
dc.date.accessioned | 2021-08-30T04:00:51Z | - |
dc.date.available | 2021-08-30T04:00:51Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2021-01-22 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/50076 | - |
dc.description.abstract | We give a unified approach to weighted mixed-norm estimates and solvability for both the usual and time fractional parabolic equations in nondivergence form when coefficients are merely measurable in the time variable. In the spatial variables, the leading coefficients locally have small mean oscillations. Our results extend the previous result in [5] for unmixed L-p-estimates without weights. (C) 2020 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | L-P | - |
dc.subject | FRACTIONAL DIFFUSION | - |
dc.subject | ELLIPTIC-EQUATIONS | - |
dc.subject | COEFFICIENTS | - |
dc.title | An approach for weighted mixed-norm estimates for parabolic equations with local and non-local time derivatives | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Doyoon | - |
dc.identifier.doi | 10.1016/j.aim.2020.107494 | - |
dc.identifier.scopusid | 2-s2.0-85096170429 | - |
dc.identifier.wosid | 000601332900009 | - |
dc.identifier.bibliographicCitation | ADVANCES IN MATHEMATICS, v.377 | - |
dc.relation.isPartOf | ADVANCES IN MATHEMATICS | - |
dc.citation.title | ADVANCES IN MATHEMATICS | - |
dc.citation.volume | 377 | - |
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 | L-P | - |
dc.subject.keywordPlus | FRACTIONAL DIFFUSION | - |
dc.subject.keywordPlus | ELLIPTIC-EQUATIONS | - |
dc.subject.keywordPlus | COEFFICIENTS | - |
dc.subject.keywordAuthor | Parabolic equation | - |
dc.subject.keywordAuthor | Time fractional derivative | - |
dc.subject.keywordAuthor | Mean oscillation estimates | - |
dc.subject.keywordAuthor | Measurable coefficients | - |
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