On the Control of Solutions of a Viscoelastic Equation

نویسنده

  • Salim A. Messaoudi
چکیده

In this paper we consider the viscoelastic equation utt −∆u+ ∫ t 0 g(t− τ)∆u(τ)dτ = 0, in a bounded domain. We show that the damping caused by the integral term is strong enough to control and stabilise the solution. Precisely, we establish an exponential decay result.

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تاریخ انتشار 2004