Perturbations of non-autonomous second-order abstract Cauchy problems.

Autor: Budde, C., Seifert, C.
Zdroj: Analysis Mathematica; Sep2024, Vol. 50 Issue 3, p733-755, 23p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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