Electron. J. Diff. Eqns., Vol. 2008(2008), No. 32, pp. 1-11.

Global attractor for a semilinear parabolic equation involving Grushin operator

Cung The Anh, Phan Quoc Hung, Tran Dinh Ke, Trinh Tuan Phong

Abstract:
The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.

Submitted December 7, 2007. Published March 6, 2008.
Math Subject Classifications: 35B41, 35K65, 35D05.
Key Words: Semilinear degenerate parabolic equation; Grushin operator; global solution; global attractor; Lyapunov functional.

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Cung The Anh
Department of Mathematics, Hanoi University of Education
136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
email: anhctmath@hnue.edu.vn
Phan Quoc Hung
Department of Mathematics, Hanoi University of Education
136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
email: hungpq@hnue.edu.vn
Tran Dinh Ke
Department of Mathematics, Hanoi University of Education
136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
email: ketd@hn.vnn.vn
Trinh Tuan Phong
Department of Mathematics, Hanoi University of Education
136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
email: phongtt@hnue.edu.vn

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