Journal
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
Volume -, Issue -, Pages -Publisher
TEXAS STATE UNIV
Keywords
Pullback attractor; nonautonomous system; plate equation; upper-semicontinuity
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We consider the family of 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 a bounded domain Omega subset of R(n), with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in H(0)(2)(Omega) x L(2)(Omega) and has a family of pullback attractors which is upper-semicontinuous under small perturbations of the damping a.
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