Electron. J. Diff. Equ., Vol. 2010(2010), No. 11, pp. 1-14.

Pullback attractors for non-autonomous parabolic equations involving Grushin operators

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.

Show me the PDF file (260 KB), TEX file, and other files for this article.

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

Return to the EJDE web page