Perturbations of non-autonomous second-order abstract Cauchy problems
Functional Analysis
2023-02-23 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.2302.11270,
title = {Perturbations of non-autonomous second-order abstract Cauchy problems},
author = {Christian Budde and Christian Seifert},
journal= {arXiv preprint arXiv:2302.11270},
year = {2023}
}
Comments
15 pages