Journal of Applied Mathematics (Jan 2013)

Fractal Dimension of a Random Invariant Set and Applications

  • Gang Wang,
  • Yanbin Tang

DOI
https://doi.org/10.1155/2013/415764
Journal volume & issue
Vol. 2013

Abstract

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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.