Perturbations of non-autonomous second-order abstract Cauchy problems
C. Budde,
C. Seifert
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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