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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorACHACHE, Mahdi
hal.structure.identifierUniversité de Bordeaux [UB]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorOUHABAZ, El Maati
dc.date.accessioned2024-04-04T03:14:27Z
dc.date.available2024-04-04T03:14:27Z
dc.date.created2016-07-01
dc.date.issued2017-12-31
dc.identifier.issn0039-3223
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194057
dc.description.abstractEnWe consider the problem of maximal regularity for non-autonomous Cauchy problems u ′ (t) + B(t)A(t)u(t) + P (t)u(t) = f (t), u(0) = u 0 and u ′ (t) + A(t)B(t)u(t) + P (t)u(t) = f (t), u(0) = u 0. In both cases, the time dependent operators A(t) are associated with a family of sesquilinear forms and the multiplicative left or right perturbations B(t) as well as the additive perturbation P (t) are families of bounded operators on the considered Hilbert space. We prove maximal L p-regularity results and other regularity properties for the solutions of the previous problems under minimal regularity assumptions on the forms and perturbations.
dc.description.sponsorshipAux frontières de l'analyse Harmonique - ANR-12-BS01-0013
dc.language.isoen
dc.publisherInstytut Matematyczny - Polska Akademii Nauk
dc.subject.enMaximal regularity
dc.subject.ennon-autonomous evolution equations
dc.subject.enmultiplicative and additive perturbations Mathematics Subject Classification (2010): 35K90
dc.subject.en35K45
dc.subject.en47D06
dc.title.enNon-autonomous right and left multiplicative perturbations and maximal regularity
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.identifier.arxiv1607.00254
bordeaux.journalStudia Mathematica
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01340534
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01340534v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Studia%20Mathematica&rft.date=2017-12-31&rft.eissn=0039-3223&rft.issn=0039-3223&rft.au=ACHACHE,%20Mahdi&OUHABAZ,%20El%20Maati&rft.genre=article


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