Random attractors for stochastic lattice dynamical systems in weighted spaces |
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Authors: | Xiaoying Han Shengfan Zhou |
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Affiliation: | a Department of Mathematics and Statistics, Auburn University, Auburn University, AL 36849, USA b Department of Mathematics, Shanghai Normal University, Shanghai 200234, PR China |
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Abstract: | In this paper, we first provide some sufficient conditions for the existence of global compact random attractors for general random dynamical systems in weighted space (p?1) of infinite sequences. Then we consider the existence of global compact random attractors in weighted space for stochastic lattice dynamical systems with random coupled coefficients and multiplicative/additive white noises. Our results recover many existing ones on the existence of global random attractors for stochastic lattice dynamical systems with multiplicative/additive white noises in regular l2 space of infinite sequences. |
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Keywords: | 60H15 34C35 58F11 58F15 58F36 |
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