Paper Info
Title
Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback
Abstract
In this paper we study a class of semilinear wave-type equations with viscoelastic damping and delay feedback with time variable coefficient. By combining semigroup arguments, careful energy estimates and an iterative approach we are able to prove, under suitable assumptions, a well-posedness result and an exponential decay estimate for solutions corresponding to small initial data. This extends and concludes the analysis initiated in Nicaise and Pignotti (J Evol Equ 15:107–129, 2015) and then developed in Komornik and Pignotti (Math Nachr, to appear, 2018), Nicaise and Pignotti (Evol Equ 18:947–971, 2018).
Year
DOI
Venue
2021
10.1007/s00498-021-00292-0
Mathematics of Control, Signals, and Systems
Keywords
DocType
Volume
Evolution equations, Delay feedbacks, Stabilization, Wave equation
Journal
33
Issue
ISSN
Citations 
4
0932-4194
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Alessandro Paolucci100.34
Cristina Pignotti27313.08