Time Fractional Parabolic Equations with Measurable Coefficients and Embeddings for Fractional Parabolic Sobolev Spaces
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Dong, Hongjie | - |
dc.contributor.author | Kim, Doyoon | - |
dc.date.accessioned | 2022-02-16T11:42:13Z | - |
dc.date.available | 2022-02-16T11:42:13Z | - |
dc.date.created | 2022-01-19 | - |
dc.date.issued | 2021-11 | - |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/135977 | - |
dc.description.abstract | We consider time fractional parabolic equations in divergence and non-divergence form when the leading coefficients a(ij) are measurable functions of (t, x(1)) except for a(11), which is a measurable function of either t or x(1). We obtain the solvability in Sobolev spaces of the equations in the whole space, on a half space, and on a partially bounded domain. The proofs use a level set argument, a scaling argument, and embeddings in fractional parabolic Sobolev spaces for which we give a direct and elementary proof. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | OXFORD UNIV PRESS | - |
dc.subject | L-P | - |
dc.subject | SOLVABILITY | - |
dc.title | Time Fractional Parabolic Equations with Measurable Coefficients and Embeddings for Fractional Parabolic Sobolev Spaces | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Doyoon | - |
dc.identifier.doi | 10.1093/imrn/rnab229 | - |
dc.identifier.scopusid | 2-s2.0-85122362430 | - |
dc.identifier.wosid | 000731077700023 | - |
dc.identifier.bibliographicCitation | INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v.2021, no.22, pp.17563 - 17610 | - |
dc.relation.isPartOf | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.citation.title | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.citation.volume | 2021 | - |
dc.citation.number | 22 | - |
dc.citation.startPage | 17563 | - |
dc.citation.endPage | 17610 | - |
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 | SOLVABILITY | - |
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