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<p>An abstract result concerning the convergence of pullback measure attractors in asymptotically autonomous problems is established and subsequently applied to non-autonomous stochastic reaction-diffusion equations with fractional Laplacian operator defined on unbounded domains. Precisely, it is demonstrated that, as the time parameter goes to the infinity, the elements of the pullback measure attractor converge in terms of the Hausdorff semi-distance to the global autonomous measure attractor.</p>

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Measure attractors of asymptotic autonomy fractional stochastic reaction-diffusion equations on unbounded domains

  • 期刊论文

  • 发表日期：

    2025年9月12日

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  • Ran Li,
  • Peter E. Kloeden,
  • Dingshi Li

摘要

An abstract result concerning the convergence of pullback measure attractors in asymptotically autonomous problems is established and subsequently applied to non-autonomous stochastic reaction-diffusion equations with fractional Laplacian operator defined on unbounded domains. Precisely, it is demonstrated that, as the time parameter goes to the infinity, the elements of the pullback measure attractor converge in terms of the Hausdorff semi-distance to the global autonomous measure attractor.