Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping
Analysis of PDEs
2021-10-22 v1
Abstract
In this paper, we obtain some stability results of (abstract) dissipative evolution equations with a nonautonomous and nonlinear damping using the exponential stability of the retrograde problem with a linear and autonomous feedback and a comparison principle. We then illustrate our abstract statements for different concrete examples, where new results are achieved. In a preliminary step, we prove some well-posedness results for some nonlinear and nonautonomous evolution equations.
Keywords
Cite
@article{arxiv.2110.11122,
title = {Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping},
author = {Serge Nicaise},
journal= {arXiv preprint arXiv:2110.11122},
year = {2021}
}