Cung The Anh
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
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