Perturbations of non-autonomous second-order abstract Cauchy problems

Publikationstyp
Journal Article
Date Issued
2024-07-01
Sprache
English
Author(s)
Budde, Christian  
Seifert, Christian  orcid-logo
Mathematik E-10  
TORE-DOI
10.15480/882.13573
TORE-URI
https://hdl.handle.net/11420/49820
Journal
Analysis mathematica  
Volume
50
Issue
3
Start Page
733
End Page
755
Citation
Analysis Mathematica 50 (3): 733-755 (2024)
Publisher DOI
10.1007/s10476-024-00035-8
Scopus ID
2-s2.0-85197310850
Publisher
Springer Science Business Media B.V.
In this paper we present time-dependent perturbations of second-order non-autonomous abstract Cauchy problems associated to a family of operators with constant domain. We make use of the equivalence to a first-order non-autonomous abstract Cauchy problem in a product space, which we elaborate in full detail. As an application we provide a perturbed non-autonomous wave equation.
Subjects
34G10
35L05
47A55
47D09
47Dxx
abstract Cauchy problem
non-autonomous
perturbation
second-order
DDC Class
510: Mathematics
Lizenz
https://creativecommons.org/licenses/by/4.0/
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