Department of Mathematics, Hanoi National University of Education
136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
email: anhctmath@hnue.edu.vn
Cung The Anh
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.
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Cung The Anh Department of Mathematics, Hanoi National University of Education 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam email: anhctmath@hnue.edu.vn |
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