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Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations

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dc.contributor.authorLeonori, Tommaso
dc.contributor.authorPeral, Ireneo
dc.contributor.authorPrimo, Ana
dc.contributor.authorSoria, Fernando
dc.contributor.orcidhttps://orcid.org/0000-0002-0848-4463
dc.contributor.orcidhttps://orcid.org/0000-0003-2297-9910
dc.contributor.orcidhttps://orcid.org/0000-0003-1804-3175
dc.contributor.orcidhttps://orcid.org/0000-0001-5753-807X
dc.date.accessioned2024-11-21T07:40:39Z
dc.date.available2024-11-21T07:40:39Z
dc.date.issued2015-12
dc.description.abstractIn this work we consider the problems { script Lu = f in Ω, u = 0 in ℝN\Ω, and { ut + script Lu = f in QT ≡ Ω x (0,T), u(x,t) = 0 in (ℝN\Ω) x (0,T), u(x, 0) = 0 in Ω, where script L is a nonlocal differential operator and Ω is a bounded domain in ℝN, with Lipschitz boundary. The main goal of this work is to study existence, uniqueness and summability of the solution u with respect to the summability of the datum f. In the process we establish an Lp-theory, for p ≥ 1, associated to these problems and we prove some useful inequalities for the applications.en
dc.description.versionversión final
dc.identifier.citationTommaso Leonori, Ireneo Peral, Ana Primo, Fernando Soria. Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations. Discrete and Continuous Dynamical Systems, 2015, 35(12): 6031-6068. doi: https://doi.org/10.3934/dcds.2015.35.6031
dc.identifier.doihttps://doi.org/10.3934/dcds.2015.35.6031
dc.identifier.issn1078-0947; eISSN: 1553-5231
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24457
dc.journal.issue12
dc.journal.titleDiscrete and Continuous Dynamical Systems
dc.journal.volume35
dc.language.isoen
dc.page.final6068
dc.page.initial6031
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsNonlocal operatorsen
dc.subject.keywordselliptic equationsen
dc.subject.keywordsparabolic equationsen
dc.subject.keywordssummability of the solutionsen
dc.titleBasic estimates for solutions of a class of nonlocal elliptic and parabolic equationsen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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