Acta Mathematica Vietnamica

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Pullback Attractors for a Non-Autonomous Semilinear Degenerate Parabolic Equation on ℝ N
Nguyen Dinh Binh, 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:

ut 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.

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