** Pullback Attractors for a Non-Autonomous Semilinear Degenerate Parabolic Equation on ℝ**^{ N}

*Nguyen Dinh Binh, Nguyen Nhu Thang, Le Thi Thuy *

^{ N}

**Abstract**

In this paper, we prove the existence of pullback attractors for the following non-autonomous semilinear degenerate parabolic equation on ℝ^{ N}:

under a new condition concerning a variable non-negative diffusivity σ(⋅), an arbitrary polynomial growth order of the nonlinearity f and an exponent growth of the non-autonomous external force g.