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Attractors for stochastic lattice dynamical systems with a multiplicative noise

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Abstract

In this paper, we consider a stochastic lattice differential equation with diffusive nearest neighbor interaction, a dissipative nonlinear reaction term, and multiplicative white noise at each node. We prove the existence of a compact global random attractor which, pulled back, attracts tempered random bounded sets.

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Authors and Affiliations

  1. Depto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080, Sevilla, Spain

    Tomás Caraballo

  2. Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA

    Kening Lu

Authors
  1. Tomás Caraballo
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  2. Kening Lu
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Correspondence to Kening Lu.

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Caraballo, T., Lu, K. Attractors for stochastic lattice dynamical systems with a multiplicative noise. Front. Math. China 3, 317–335 (2008). https://doi.org/10.1007/s11464-008-0028-7

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  • DOI: https://doi.org/10.1007/s11464-008-0028-7

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