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

Nguyen Dinh Binh , $icon-email$ Nguyen Nhu Thang , Le Thi Thuy

Abstract

In this paper, we prove the existence of pullback attractors for the following non-autonomous semilinear degenerate parabolic equation on $R^{N}$ : $\frac{\partial u}{\partial t} - div (σ (x) \nabla u) + λ u + f (x, u) = g (x, t),$ under a new condition concerning a variable non-negative diffusivity $σ (\cdot)$ , an arbitrary polynomial growth order of the nonlinearity $f$ and an exponent growth of the non-autonomous external force $g$ .

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Pullback Attractors for a Non-Autonomous Semilinear Degenerate Parabolic Equation on RN

Abstract

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