Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 11, pp. 1-14.

Title: Pullback attractors for non-autonomous parabolic equations
       involving Grushin operators
       
Author: Cung The Anh (Hanoi National Univ., Vietnam)

Abstract: 
 Using the asymptotic a priori estimate method, we prove the existence
 of pullback attractors for a non-autonomous semilinear degenerate
 parabolic equation involving the Grushin operator in a bounded domain.
 We assume a polynomial type growth on the nonlinearity, and
 an exponential growth on the external force.
 The obtained results extend some existing results for
 non-autonomous reaction-diffusion equations.

Submitted June 8, 2009. Published January 18, 2010.
Math Subject Classifications: 35B41, 35K65, 35D05.
Key Words: Non-autonomous degenerate equation;
   Grushin operator; global solution; pullback attractor;
   compactness method; asymptotic a priori estimate method.