Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 185, pp. 1-8.
Title: Lower semicontinuity of pullback attractors for a singularly
nonautonomous plate equation
Author: Ricardo Parreira da Silva (Univ. Estadual Paulista, Brazil)
Abstract:
We show the lower semicontinuity of the family of pullback attractors
for the singularly nonautonomous plate equation with structural damping
$$
u_{tt} + a(t,x)u_{t} + (- \Delta) u_{t} + (-\Delta)^{2} u + \lambda u = f(u),
$$
in the energy space $H^2_0(\Omega) \times L^2(\Omega)$ under small
perturbations of the damping term a.
Submitted April 9, 2012. Published October 28, 2012.
Math Subject Classifications: 35B41, 35L25, 35Q35.
Key Words: Pullback attractors; nonautonomous systems;
plate equation; lower-semicontinuity.