摘要

In this paper, we obtain optimal decay estimates for the solutions to an evolution equation with critical, structural, dissipation, and absorbing power nonlinearity: u t t + Δ 2 θ u + 2 μ ( ? Δ ) θ u t + | u t | p ? 1 u t = 0 , t ≥ 0 , x ∈ R n , with μ >0, θ is a positive integer, and p >1+4 θ / n ,...