Energy decay for semilinear evolution equations with memory and time-dependent time delay feedback
Analysis of PDEs
2025-07-01 v1
Abstract
In this paper, we study well-posedness and exponential stability for semilinear second order evolution equations with memory and time-varying delay feedback. The time delay function is assumed to be continuous and bounded. Under a suitable assumption on the delay feedback, we are able to prove that solutions corresponding to small initial data are globally defined and satisfy an exponential decay estimate.
Cite
@article{arxiv.2404.17706,
title = {Energy decay for semilinear evolution equations with memory and time-dependent time delay feedback},
author = {Elisa Continelli and Cristina Pignotti},
journal= {arXiv preprint arXiv:2404.17706},
year = {2025}
}