ACHACHE, Mahdi; OUHABAZ, El Maati

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ACHACHE, Mahdi
Institut de Mathématiques de Bordeaux [IMB]

OUHABAZ, El Maati
Université de Bordeaux [UB]
Institut de Mathématiques de Bordeaux [IMB]

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Article de revue

Ce document a été publié dans

Studia Mathematica. 2017-12-31

Instytut Matematyczny - Polska Akademii Nauk

Résumé en anglais

We 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.< Réduire

Mots clés en anglais

Maximal regularity

non-autonomous evolution equations

multiplicative and additive perturbations Mathematics Subject Classification (2010): 35K90

35K45

47D06

URI

https://oskar-bordeaux.fr/handle/20.500.12278/194057

Project ANR

Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251