Geodesic
Pullback attractors for a singularly nonautonomous plate equation
Electronic Journal of Differential Equations, Tome 2011 (2011).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider the family of singularly nonautonomous plate equation with structural damping $utt + a(t, x)$ut - $\Delta $ut + ( - $\Delta )2u + \lambda u = f$ (u), in a bounded domain $\Omega \subset n$ R , with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in $H2(\Omega ) \times L2(\Omega )$ and has a family of pullback attractors which is upper- 0 semicontinuous under small perturbations of the damping a.
Classification : 35B41, 35L25, 35Q35
Keywords: pullback attractor, nonautonomous system, plate equation, upper-semicontinuity 
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     author = {Carbone, Vera Lucia and Nascimento, Marcelo Jose Dias and Schiabel-Silva, Karina and Da Silva, Ricardo Parreira},
     title = {Pullback attractors for a singularly nonautonomous plate equation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a60/}
}
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Carbone, Vera Lucia; Nascimento, Marcelo Jose Dias; Schiabel-Silva, Karina; Da Silva, Ricardo Parreira. Pullback attractors for a singularly nonautonomous plate equation. Electronic Journal of Differential Equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a60/