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Exponential Attractors for Lattice Dynamical Systems in Weighted Spaces

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Abstract

The aim of this paper is to investigate the existence of exponential attractors for lattice reaction-diffusion systems in weighted spaces \(l_{\sigma}^{2}\) and for partly dissipative lattice reaction-diffusion systems in weighted spaces \(l_{\mu}^{2}\times l_{\mu}^{2}\), respectively. In contrast to the previous work by Abdallah in J. Math. Anal. Appl. 339, 217–224 (2008) and Commun. Pure Appl. Anal. 8, 803–818 (2009), we get the existence of exponential attractors for lattice dynamical systems in the weak topology spaces.

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Authors and Affiliations

  1. School of Science, Hohai University, Nanjing, Jiangsu, 210098, China

    Xiaojun Li, Kaijin Wei & Haiyun Zhang

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  1. Xiaojun Li
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  2. Kaijin Wei
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  3. Haiyun Zhang
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Correspondence to Xiaojun Li.

Additional information

This work was supported by the NNSF of China Grant 10871059, Foundation of Central University and NSF of Hohai University.

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Li, X., Wei, K. & Zhang, H. Exponential Attractors for Lattice Dynamical Systems in Weighted Spaces. Acta Appl Math 114, 157–172 (2011). https://doi.org/10.1007/s10440-011-9606-x

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