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

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.

Keywords

• Semilinear degenerate parabolic equation
• Grushin operator
• global solution
• global attractor
• upper semicontinuity
• nonlinearity
• shape of domain