Maximal regularity for non-autonomous Schrödinger type equations
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, El Maati | |
| dc.date.accessioned | 2024-04-04T02:17:05Z | |
| dc.date.available | 2024-04-04T02:17:05Z | |
| dc.date.created | 2009 | |
| dc.date.issued | 2010 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189196 | |
| dc.description.abstractEn | In this paper we study the maximal regularity property for nonautonomous evolution equations ∂tu(t)+ A(t)u(t) = f (t), u(0) = 0. If the equation is considered on a Hilbert space H and the operators A(t) are defined by sesquilinear forms a(t, *,*) we prove the maximal regularity under a Hölder continuity assumption of t → a(t, *,*). In the non-Hilbert space situation we focus on Schrödinger type operators A(t) := − + m(t, *) and prove Lp − Lq estimates for a wide class of time and space dependent | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Maximal Lp − Lq regularity Non-autonomous Cauchy problems Schrödinger operators | |
| dc.title.en | Maximal regularity for non-autonomous Schrödinger type equations | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jde.2009.10.004 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Journal of Differential Equations | |
| bordeaux.page | 1668-1683 | |
| bordeaux.volume | 248 | |
| 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-00998109 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00998109v1 | |
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