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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorACHACHE, Mahdi
dc.contributor.authorHOSSNI, Tebbani
dc.date.accessioned2024-04-04T03:05:39Z
dc.date.available2024-04-04T03:05:39Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193266
dc.description.abstractEnWe consider the problem of maximal regularity for non-autonomous Cauchy problems u ′ (t) + A(t)u(t) = f (t) (t ∈ [0, τ ]), u(0) = u 0. The time dependent operators A(t) are associated with sesquilinear forms on a Hilbert space H. We prove the maximal regularity in the weighted space L 2 (0, τ, t β dt; H), with β ∈] − 1, 1[ and we prove also other regularity properties for the solution of the previous problem. Our result is motivated by boundary value problems.
dc.language.isoen
dc.subject.enMaximal regularity
dc.subject.ennon-autonomous evolution equations
dc.subject.enweighted space
dc.title.enNon-autonomous maximal regularity in weighted space
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01822281
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01822281v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ACHACHE,%20Mahdi&HOSSNI,%20Tebbani&rft.genre=preprint


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