EXISTENCE AND DECAY OF SOLUTIONS TO A VISCOELASTIC PLATE EQUATION

Salim Messaoudi, Edwin Soh, Mukiawa
2016 Electronic Journal of Differential Equations   unpublished
In this article we study the fourth-order viscoelastic plate equation utt + ∆ 2 u − Z t 0 g(t − τ)∆ 2 u(τ)dτ = 0 in the bounded domain Ω = (0, π)×(−,) ⊂ R 2 with non traditional boundary conditions. We establish the well-posedness and a decay result.
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