Linear non-autonomous Cauchy problems and evolution semigroups
dc.bibliographicCitation.volume | 1266 | |
dc.contributor.author | Neidhardt, Hagen | |
dc.contributor.author | Zagrebnov, Valentin A. | |
dc.date.accessioned | 2016-03-24T17:38:18Z | |
dc.date.available | 2019-06-28T08:02:44Z | |
dc.date.issued | 2007 | |
dc.description.abstract | The paper is devoted to the problem of existence of propagators for an abstract linear non-autonomous evolution Cauchy problem of hyperbolic type in separable Banach spaces. The problem is solved using the so-called evolution semigroup approach which reduces the existence problem for propagators to a perturbation problem of semigroup generators. The results are specified to abstract linear non-autonomous evolution equations in Hilbert spaces where the assumption is made that the domains of the quadratic forms associated with the generators are independent of time. Finally, these results are applied to time-dependent Schrödinger operators with moving point interactions in 1D. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/2614 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1907 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik, Volume 1266, ISSN 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject | linear evolution equations | eng |
dc.subject | evolution semigroups | eng |
dc.subject | perturbation theory | eng |
dc.subject | time-dependent Schrödinger operators | eng |
dc.subject | moving potentials | eng |
dc.subject.ddc | 510 | eng |
dc.title | Linear non-autonomous Cauchy problems and evolution semigroups | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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