Attractors for stochastic lattice dynamical systems with a multiplicative noise |
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| Authors: | Tomás Caraballo Kening Lu |
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| Institution: | (1) Depto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080 Sevilla, Spain;(2) Department of Mathematics, Brigham Young University, Provo, UT 84602, USA |
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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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| Keywords: | Stochastic lattice differential equation random attractor multiplicative noise |
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