Pullback attractors for a singularly nonautonomous plate equation
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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.
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Nonautonomous system, Plate equation, Pullback attractor, Upper-semicontinuity
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Inglês
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Electronic Journal of Differential Equations, v. 2011.
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