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dc.creatorHe, Cong
dc.creatorChen, Jingchun
dc.date2022-08-22
dc.date.accessioned2022-08-30T14:54:23Z
dc.date.available2022-08-30T14:54:23Z
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/3095
dc.identifier10.56754/0719-0646.2402.0211
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/206740
dc.descriptionIn this paper, we are concerned about the well-posedness of Vlasov-Poisson equation near vaccum in weighted Sobolev space \(W^{m, p}(w)\). The most difficult part comes from estimates of the electronic term \(\nabla_{x}\phi\). To overcome this difficulty, we establish the \(L^p\)-\(L^q\) estimates of the electronic term \(\nabla_{x}\phi\); some weight is introduced as well  to obtain the off-diagonal estimate. The weight is also useful when it comes to control the higher-order derivative term.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/3095/2198
dc.rightsCopyright (c) 2022 C. He et al.en-US
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 24 No. 2 (2022); 211–226en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 24 Núm. 2 (2022); 211–226es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectVlasov-Poissonen-US
dc.subjectLp-Soboleven-US
dc.subjectweighted estimatesen-US
dc.subjectLp-Lq estimatesen-US
dc.titleVlasov-Poisson equation in weighted Sobolev space \(W^{m, p}(w)\)en-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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