Exponential Stability of a Transmission Problem with History and Delay

Noureddine Bahri, Beniani Abderrahmane
2019 Statistics, Optimization and Information Computing  
In this paper, we consider a transmission problem in the presence of history and delay terms.Under appropriate assumptions, we prove well-posedness by using the semigroup theory. Our stability estimate proves that the unique dissipation given by the history term is strong enough to stabilize exponentially the system in presence of delay by introducing a suitable Lyaponov functional.
doi:10.19139/soic-2310-5070-728 fatcat:afcmo2te2jczvfwtty7qs63c7m