Random attractors for stochastic reaction‐diffusion equations with multiplicative noise in |
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| Authors: | Yanbin Tang |
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| Affiliation: | School of Mathematics and Statistics, Huazhong University of Science and Technology, , Wuhan, Hubei, 430074 P. R. China |
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| Abstract: | In this paper, we study the random dynamical system generated by a stochastic reaction‐diffusion equation with multiplicative noise and prove the existence of an  ‐random attractor for such a random dynamical system. The nonlinearity f is supposed to satisfy some growth of arbitrary order   . |
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| Keywords: | Stochastic reaction‐diffusion equation random dynamical system multiplicative noise asymptotic compactness random attractor 60H15 35B40 35B41 |
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