You are viewing a javascript disabled version of the site. Please enable Javascript for this site to function properly.
Go to headerGo to navigationGo to searchGo to contentsGo to footer
In content section. Select this link to jump to navigation

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: yanglu@lzu.edu.cn.

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
Show more