Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping
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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 .
CitationBerrimi, S., & Messaoudi, S. A. (2004). Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping. Electronic Journal of Differential Equations, 2004(88), pp. 1-10.
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