Existence and decay of solutions to a viscoelastic plate equation
Messaoudi, Salim A.
Mukiawa, Soh Edwin
Texas State University, Department of Mathematics
In this article we study the fourth-order viscoelastic plate equation utt + ∆2u - ∫t0 g(t - τ)∆2u(τ)dτ = 0 in the bounded domain Ω = (0, π) x (-l, l) ⊂ ℝ2 with non traditional boundary conditions. We establish the well-posedness and a decay result.
Existence, Decay, Plate viscoelastic, Fourth order
Messaoudi, S. A., & Mukiawa, S. E. (2016). Existence and decay of solutions to a viscoelastic plate equation. <i>Electronic Journal of Differential Equations, 2016</i>(22), pp. 1-14.