PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM IN SPACE OF HIGHER REGULARITY

Yongjun Li; Tinggang Zhao; Hongqing Wu; Jinying Wei

doi:10.11948/2016020

2016 Volume 6 Issue 1

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Yongjun Li, Tinggang Zhao, Hongqing Wu, Jinying Wei. PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM IN SPACE OF HIGHER REGULARITY[J]. Journal of Applied Analysis & Computation, 2016, 6(1): 242-253. doi: 10.11948/2016020

Citation:

Yongjun Li, Tinggang Zhao, Hongqing Wu, Jinying Wei. PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM IN SPACE OF HIGHER REGULARITY[J]. Journal of Applied Analysis & Computation, 2016, 6(1): 242-253. doi: 10.11948/2016020

PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM IN SPACE OF HIGHER REGULARITY

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

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Abstract

Abstract

Under what condition, a process which exists a (E, E)-pullback exponential attractor implies the existence of (E, V)-pullback exponential attractor when V embedded in E? We answer this question in this paper. As an application of this result, we prove the existence of pullback exponential attractor for a nonlinear reaction-diffusion equation with a polynomial growth nonlinearity in L^q(Ω)(∀q ≥ 2) and H₀1(Ω).
- Nonautonomous dynamical system /
- fractal dimension /
- pullback exponential attractors /
- reaction diffusion equation
MSC: 35K57;35B40;35B41

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References

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