Affiliation:
1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P.R. China
Abstract
In this paper, we study the long-time behavior of the following plate equation ε ( t ) u t t + g ( u t ) + Δ 2 u + λ u + f ( u ) = h , where the coefficient ε depends explicitly on time, the nonlinear damping and the nonlinearity both have critical growths.
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