Parabolic equations with unbounded lower-order coefficients in Sobolev spaces with mixed norms
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Doyoon | - |
dc.contributor.author | Ryu, Seungjin | - |
dc.contributor.author | Woo, Kwan | - |
dc.date.accessioned | 2022-04-01T10:40:58Z | - |
dc.date.available | 2022-04-01T10:40:58Z | - |
dc.date.created | 2022-04-01 | - |
dc.date.issued | 2022-03 | - |
dc.identifier.issn | 1424-3199 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/139352 | - |
dc.description.abstract | We prove the L-p,L-q-solvability of parabolic equations in divergence form with full lower-order terms. The coefficients and non-homogeneous terms belong to mixed Lebesgue spaces with the lowest integrability conditions. In particular, the coefficients for the lower-order terms are not necessarily bounded. We study both the Dirichlet and conormal derivative boundary value problems on irregular domains. We also prove embedding results for parabolic Sobolev spaces, the proof of which is of independent interest. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER BASEL AG | - |
dc.subject | ELLIPTIC-EQUATIONS | - |
dc.subject | DIRICHLET PROBLEM | - |
dc.title | Parabolic equations with unbounded lower-order coefficients in Sobolev spaces with mixed norms | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Doyoon | - |
dc.identifier.doi | 10.1007/s00028-022-00761-2 | - |
dc.identifier.scopusid | 2-s2.0-85126054053 | - |
dc.identifier.wosid | 000762762200002 | - |
dc.identifier.bibliographicCitation | JOURNAL OF EVOLUTION EQUATIONS, v.22, no.1 | - |
dc.relation.isPartOf | JOURNAL OF EVOLUTION EQUATIONS | - |
dc.citation.title | JOURNAL OF EVOLUTION EQUATIONS | - |
dc.citation.volume | 22 | - |
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, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | ELLIPTIC-EQUATIONS | - |
dc.subject.keywordPlus | DIRICHLET PROBLEM | - |
dc.subject.keywordAuthor | Parabolic equations | - |
dc.subject.keywordAuthor | Unbounded lower-order coefficients | - |
dc.subject.keywordAuthor | Sobolev spaces | - |
dc.subject.keywordAuthor | Embedding theorem | - |
dc.subject.keywordAuthor | Reifenberg flat domains | - |
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