Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping

Date

2004-06-29

Authors

Berrimi, Said
Messaoudi, Salim A.

Journal Title

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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.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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