Geodesic
Pullback attractors for a singularly nonautonomous plate equation
Electronic journal of differential equations, Tome 2011 (2011)
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 
@article{EJDE_2011__2011__a60,
     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},
     year = {2011},
     volume = {2011},
     zbl = {1228.35059},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a60/}
}
TY  - JOUR
AU  - Carbone,  Vera Lucia
AU  - Nascimento,  Marcelo Jose Dias
AU  - Schiabel-Silva,  Karina
AU  - Da Silva,  Ricardo Parreira
TI  - Pullback attractors for a singularly nonautonomous plate equation
JO  - Electronic journal of differential equations
PY  - 2011
VL  - 2011
UR  - http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a60/
LA  - en
ID  - EJDE_2011__2011__a60
ER  - 
%0 Journal Article
%A Carbone,  Vera Lucia
%A Nascimento,  Marcelo Jose Dias
%A Schiabel-Silva,  Karina
%A Da Silva,  Ricardo Parreira
%T Pullback attractors for a singularly nonautonomous plate equation
%J Electronic journal of differential equations
%D 2011
%V 2011
%U http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a60/
%G en
%F EJDE_2011__2011__a60
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/