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arXiv · 2302.11270

Perturbations of non-autonomous second-order abstract Cauchy problems

Christian Budde·Christian Seifert
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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.

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Christian Budde, Christian Seifert. 2023-02-22. Perturbations of non-autonomous second-order abstract Cauchy problems. https://arxiv.org/abs/2302.11270

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