Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping
Date
2004-06-29
Authors
Berrimi, Said
Messaoudi, Salim A.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this paper we consider the nonlinear viscoelastic equation
utt - ∆u + ∫t0 g(t - τ) ∆u(τ) dτ + α(x)|ut|m ut + b|u|γu = 0,
in a bounded domain. Without imposing geometry restrictions on the boundary, we establish an exponential decay result, under weaker conditions than those in [3].
Description
Keywords
Exponential decay, Global existence, Nonlinear localized damping
Citation
Berrimi, S., & Messaoudi, S. A. (2004). Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping. <i>Electronic Journal of Differential Equations, 2004</i>(88), pp. 1-10.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.