Operator matrices as generators of cosine operator functions
Analysis of PDEs
2018-12-21 v1
Abstract
We introduce an abstract setting that allows to discuss wave equations with time-dependent boundary conditions by means of operator matrices. We show that such problems are well-posed if and only if certain perturbations of the same problems with homogeneous, time-independent boundary conditions are well-posed. As applications we discuss two wave equations in and in equipped with dynamical and acoustic-like boundary conditions, respectively.
Cite
@article{arxiv.1008.0288,
title = {Operator matrices as generators of cosine operator functions},
author = {Delio Mugnolo},
journal= {arXiv preprint arXiv:1008.0288},
year = {2018}
}