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Dynamics for a plate equation with nonlinear damping on time-dependent space

Article type: Research Article

Authors: Zhang, Penghui | Yang, Lu; *

Affiliations: School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P.R. China

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: In this paper, we study the long-time behavior of the following plate equation ε(t)utt+g(ut)+Δ2u+λu+f(u)=h, where the coefficient ε depends explicitly on time, the nonlinear damping and the nonlinearity both have critical growths.

Keywords: Plate equation, nonlinear damping, critical nonlinearity, time-dependent space

DOI: 10.3233/ASY-211698

Journal: Asymptotic Analysis, vol. 127, no. 4, pp. 381-397, 2022

Published: 10 February 2022
Price: EUR 27.50
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