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Volume 8, Number 4, 2018, Pages 1186-1193                                                                DOI:10.11948/2018.1186
Asymptotic dynamics for reaction diffusion equations in unbounded domain
Yongjun Li,Jinying Wei
Keywords:Reaction diffusion equation, semigroup, exponential attractor.
Abstract:
      In this paper we study the asymptotic dynamics for reaction diffusion equation defined in $\mathbb{R}^n$. We will prove that the equation possesses a fixed point when the nonlinearity satisfies some restrictive conditions and then we show that the fixed point is an exponential attractor.
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