Fractal Dimension of a Random Invariant Set and Applications

Gang Wang and Yanbin Tang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We prove an abstract result on random invariant sets of finite fractal dimension. Then this result is applied to a stochastic semilinear degenerate parabolic equation and an upper bound is obtained for the random attractors of fractal dimension.

Date: 2013
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https://doi.org/10.1155/2013/415764

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:415764

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