Electron. J. Diff. Equ., Vol. 2012 (2012), No. 129, pp. 1-5.

Decay of solutions for a plate equation with p-Laplacian and memory term

Wenjun Liu, Gang Li, Linghui Hong

Abstract:
In this note we show that the assumption on the memory term g in Andrade [1] can be modified to be $g'(t)\leq -\xi(t)g(t)$, where $\xi(t)$ satisfies
$$ \xi'(t)\leq0,\quad \int_0^{+\infty}\xi(t)\, dt=\infty. $$
Then we show that rate of decay for the solution is similar to that of the memory term.

Submitted April 20, 2012. Published August 15, 2012.
Math Subject Classifications: 35L75, 35B40.
Key Words: Rate of decay; plate equation; p-Laplacian; memory term.

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Wenjun Liu
College of Mathematics and Statistics
Nanjing University of Information Science and Technology
Nanjing 210044, China
email: wjliu@nuist.edu.cn
Gang Li
College of Mathematics and Statistics
Nanjing University of Information Science and Technology
Nanjing 210044, China
email: ligang@nuist.edu.cn
Linghui Hong
College of Mathematics and Statistics
Nanjing University of Information Science and Technology
Nanjing 210044, China
email: hlh3411006@163.com

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