A transmission problem for waves under time-varying delay and nonlinear weight
Analysis of PDEs
2021-02-17 v1
Abstract
This manuscript focus on in the transmission problem for one dimensional waves with nonlinear weights on the frictional damping and time-varying delay. We prove global existence of solutions using Kato's variable norm technique and we show the exponential stability by the energy method with the construction of a suitable Lyapunov functional.
Keywords
Cite
@article{arxiv.2102.07829,
title = {A transmission problem for waves under time-varying delay and nonlinear weight},
author = {Carlos A. S. Nonato and Carlos A. Raposo and Waldemar D. Bastos},
journal= {arXiv preprint arXiv:2102.07829},
year = {2021}
}