Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 129, pp. 1-5.
Title: Decay of solutions for a plate equation with p-Laplacian
and memory term
Authors: Wenjun Liu (Nanjing Univ., Nanjing, China)
Gang Li (Nanjing Univ., Nanjing, China)
Linghui Hong (Nanjing Univ., Nanjing, China)
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
$$
\xi'(t)\leq0,\quad \int_0^{+\infty}\xi(t){\rm d}t=\infty.
$$
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.