Well-posedness and stability for semilinear wave-type equations with time delay
Analysis of PDEs
2021-08-31 v1
Abstract
In this paper we analyze a semilinear abstract damped wave-type equation with time delay. We assume that the delay feedback coefficient is variable in time and belonging to Under suitable assumptions, we show well-posedness and exponential stability for small initial data. Our strategy combines careful energy estimates and continuity arguments. Some examples illustrate the abstract results.
Cite
@article{arxiv.2108.12786,
title = {Well-posedness and stability for semilinear wave-type equations with time delay},
author = {Alessandro Paolucci and Cristina Pignotti},
journal= {arXiv preprint arXiv:2108.12786},
year = {2021}
}