THE EXISTENCE OF PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM AND APPLICATIONS TO NONAUTONOMOUS REACTION DIFFUSION EQUATIONS

Yongjun Li; Suyun Wang; Tinggang Zhao

doi:10.11948/2015032

2015 Volume 5 Issue 3

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Yongjun Li, Suyun Wang, Tinggang Zhao. THE EXISTENCE OF PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM AND APPLICATIONS TO NONAUTONOMOUS REACTION DIFFUSION EQUATIONS[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 388-405. doi: 10.11948/2015032

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Yongjun Li, Suyun Wang, Tinggang Zhao. THE EXISTENCE OF PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM AND APPLICATIONS TO NONAUTONOMOUS REACTION DIFFUSION EQUATIONS[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 388-405. doi: 10.11948/2015032

THE EXISTENCE OF PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM AND APPLICATIONS TO NONAUTONOMOUS REACTION DIFFUSION EQUATIONS

School of Mathematics, Lanzhou City University, No.11, Jiefang Road, 730070, China

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Abstract

Abstract

First we establish some sufficient conditions for the existence of pullback exponential attractors by using ω-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 H₀1.
- Dynamical system /
- pullback exponential attractors /
- pullback ω-limit compactness /
- reaction diffusion equation
MSC: 35K57;35B40;35B41

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