Electron. J. Diff. Equ., Vol. 2012 (2012), No. 185, pp. 1-8.

Lower semicontinuity of pullback attractors for a singularly nonautonomous plate equation

Ricardo Parreira da Silva

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.

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Ricardo Parreira da Silva
Instituto de Geociências e Ciências Exatas, UNESP
- Univ. Estadual Paulista, Departamento de Matemática
13506-900 Rio Claro SP, Brazil
email: rpsilva@rc.unesp.br

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