2024/10/23 by Budde, Christian, Seifert, Christian
#34G10 | 35L05 | 47A55 | 47D09 | 47Dxx | abstract Cauchy problem | non-autonomous | perturbation | second-order #Natural Sciences and Mathematics::510: Mathematics
paper · doi:10.15480/882.13573
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.