Abstract

In this paper, we prove the existence of pullback attractors for the following non-autonomous semilinear degenerate parabolic equation on ℝN: ∂u∂t−div(σ(x)∇u)+λu+f(x,u)=g(x,t), 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.In this paper, we prove the existence of pullback attractors for the following non-autonomous semilinear degenerate parabolic equation on ℝN: ∂u∂t−div(σ(x)∇u)+λu+f(x,u)=g(x,t), 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.