Artículos de revistas
Pullback attractors for a singularly nonautonomous plate equation
Fecha
2011-07-22Registro en:
Electronic Journal of Differential Equations, v. 2011.
1072-6691
2-s2.0-79960453572
Autor
Universidade Federal de São Carlos (UFSCar)
Universidade Estadual Paulista (UNESP)
Institución
Resumen
We consider the family of singularly nonautonomous plate equation with structural damping utt + a(t, x)ut - Δut + (-Δ)2u + λu = f(u), in a bounded domain Ω ⊂ Rn, with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in H2 0(Ω) × L2(Ω) and has a family of pullback attractors which is uppersemicontinuous under small perturbations of the damping a. © 2011 Texas State University - San Marcos.