Optimal decay for plates with rotational inertia and memory

Higidio Portillo Oquendo and María Astudillo

Mathematische Nachrichten, 2019, vol. 292, issue 8, 1800-1810

Abstract: We study the asymptotic behavior of a linear plate equation with effects of rotational inertia and a fractional damping in the memory term: utt−γΔutt+βΔ2u−∫0∞g(s)Δ2θu(t−s)ds=0,where θ≤1 and the kernel g is exponentially decreasing. The main result of this work is the polynomial decay of their solutions when θ

Date: 2019
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