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doi:10.1007/s11464-009-0033-5

Front Math Chin

2009, Vol. 4

Issue (3) : 563-583 https://doi.org/10.1007/s11464-009-0033-5

RESEARCH ARTICLE

Pullback attractors for non-autonomous reaction-diffusion equations on ?n

Bixiang WANG(

)

Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801, USA

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Abstract

We study the long time behavior of solutions of the non-autonomous reaction-diffusion equation defined on the entire space Rn when external terms are unbounded in a phase space. The existence of a pullback global attractor for the equation is established in L2(Rn) and H1(Rn), respectively. The pullback asymptotic compactness of solutions is proved by using uniform a priori estimates on the tails of solutions outside bounded domains.

Keywords Pullback attractor asymptotic compactness non-autonomous equation

Corresponding Author(s): WANG Bixiang,Email:bwang@nmt.edu

Issue Date: 05 September 2009

Cite this article:

Bixiang WANG. Pullback attractors for non-autonomous reaction-diffusion equations on ?n[J]. Front Math Chin, 2009, 4(3): 563-583.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-009-0033-5
https://academic.hep.com.cn/fmc/EN/Y2009/V4/I3/563

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