Electron. J. Diff. Eqns., Vol. 2009(2009), No. 61, pp. 1-13.

Existence and continuity of global attractors for a degenerate semilinear parabolic equation

Cung The Anh, Tran Dinh Ke

Abstract:
In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.

Submitted December 20, 2008. Published May 4, 2009.
Math Subject Classifications: 35B41, 35K65, 35D05.
Key Words: Semilinear degenerate parabolic equation; Grushin operator; global solution; global attractor; upper semicontinuity; nonlinearity; shape of domain.

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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
Tran Dinh Ke
Department of Mathematics, Hanoi University of Education
136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
email: ketd@hn.vnn.vn

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