Non-autonomous right and left multiplicative perturbations and maximal regularity
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ACHACHE, Mahdi | |
| hal.structure.identifier | Université de Bordeaux [UB] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, El Maati | |
| dc.date.accessioned | 2024-04-04T03:14:27Z | |
| dc.date.available | 2024-04-04T03:14:27Z | |
| dc.date.created | 2016-07-01 | |
| dc.date.issued | 2017-12-31 | |
| dc.identifier.issn | 0039-3223 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194057 | |
| dc.description.abstractEn | 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. | |
| dc.description.sponsorship | Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013 | |
| dc.language.iso | en | |
| dc.publisher | Instytut Matematyczny - Polska Akademii Nauk | |
| dc.subject.en | Maximal regularity | |
| dc.subject.en | non-autonomous evolution equations | |
| dc.subject.en | multiplicative and additive perturbations Mathematics Subject Classification (2010): 35K90 | |
| dc.subject.en | 35K45 | |
| dc.subject.en | 47D06 | |
| dc.title.en | Non-autonomous right and left multiplicative perturbations and maximal regularity | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 1607.00254 | |
| bordeaux.journal | Studia Mathematica | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01340534 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01340534v1 | |
| bordeaux.COinS | ctx_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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