arXiv Open Access 2023

Perturbations of non-autonomous second-order abstract Cauchy problems

Christian Budde Christian Seifert

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Abstrak

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.

Topik & Kata Kunci

math.FA math.AP

Penulis (2)

Christian Budde

Christian Seifert

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APA MLA BibTeX

Budde, C., Seifert, C. (2023). Perturbations of non-autonomous second-order abstract Cauchy problems. https://arxiv.org/abs/2302.11270

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓