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<p>In this paper, we consider the existence of pullback random exponential attractor for non-autonomous random reaction-diffusion equation driven by nonlinear colored noise defined on ℝ<sup><i>n</i></sup>. The key steps of the proof are the tails estimate and to demonstrate the Lipschitz continuity and random squeezing property of the solution for the equation defined on ℝ<sup><i>n</i></sup>.</p>

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Exponential stability of attractor for random reaction-diffusion equation driven by nonlinear colored noise on ℝn

  • 期刊论文

  • 发表日期：

    2025年4月8日

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  • Huijuan Zhu,
  • Xiaojun Li,
  • Yanjiao Li

摘要

In this paper, we consider the existence of pullback random exponential attractor for non-autonomous random reaction-diffusion equation driven by nonlinear colored noise defined on ℝn. The key steps of the proof are the tails estimate and to demonstrate the Lipschitz continuity and random squeezing property of the solution for the equation defined on ℝn.