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Global Calderón–Zygmund estimate for p-Laplacian parabolic system
DC Field | Value | Language |
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dc.contributor.author | Byun, Sun-Sig | - |
dc.contributor.author | Kim, Wontae | - |
dc.date.accessioned | 2023-07-14T04:14:21Z | - |
dc.date.available | 2023-07-14T04:14:21Z | - |
dc.date.created | 2022-07-19 | - |
dc.date.created | 2022-07-19 | - |
dc.date.created | 2022-07-19 | - |
dc.date.created | 2022-07-19 | - |
dc.date.issued | 2022-06 | - |
dc.identifier.citation | Mathematische Annalen, Vol.383 No.1-2, pp.77-118 | - |
dc.identifier.issn | 0025-5831 | - |
dc.identifier.uri | https://hdl.handle.net/10371/195121 | - |
dc.description.abstract | © 2020, Springer-Verlag GmbH Germany, part of Springer Nature.We establish a global Calderón–Zygmund theory for the weak solution of the following p-Laplacian system {ut-div(a(x,t)|∇u|p-2∇u)=-div|F|p-2F+finΩT,u=0on∂Ω×(0,T),u=u0onΩ×{0},by proving that for every q≥ p there holds |∇u0|q∈L1(Ω)and|F|q,|f|(p∗)′qp∈L1(ΩT)⟹|∇u|q∈L1(ΩT)with the desired global Calderón-Zygmund estimate, where p∗=p(n+2)n is parabolic Sobolev conjugate of p and (p∗)′ is Hölder conjugate of p∗. | - |
dc.language | 영어 | - |
dc.publisher | Springer Verlag | - |
dc.title | Global Calderón–Zygmund estimate for p-Laplacian parabolic system | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s00208-020-02089-z | - |
dc.citation.journaltitle | Mathematische Annalen | - |
dc.identifier.wosid | 000592146100001 | - |
dc.identifier.scopusid | 2-s2.0-85096539639 | - |
dc.citation.endpage | 118 | - |
dc.citation.number | 1-2 | - |
dc.citation.startpage | 77 | - |
dc.citation.volume | 383 | - |
dc.description.isOpenAccess | N | - |
dc.contributor.affiliatedAuthor | Byun, Sun-Sig | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.subject.keywordPlus | HIGHER INTEGRABILITY | - |
dc.subject.keywordPlus | ELLIPTIC-EQUATIONS | - |
dc.subject.keywordPlus | GRADIENT | - |
dc.subject.keywordPlus | EXPONENT | - |
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