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 Volume 5, Number 3, 2015, Pages 388-405                                                                DOI：10.11948/2015032 The existence of pullback exponential attractors for nonautonomous dynamical system and applications to nonautonomous reaction diffusion equations Yongjun Li, Suyun Wang and Tinggang Zhao Keywords:Dynamical system Abstract: First we establish some sufficient conditions for the existence of pullback exponential attractors by using $\omega-$limit compactness in the framework of process. Then we provide a new method to prove the existence of pullback exponential attractors. As a simple application, we prove the existence of pullback exponential attractors for nonautonomous reaction diffusion equations in $H_0^1$. PDF      Download reader