Forward Asymptotic Autonomy of Attractors for Stochastic Reaction Diffusion Equations Driven by Nonlinear Colored Noise

• Xiaoying Zhu ^[1] ; Xuping Zhang ^[1] ; Donal ORegan ^[2]
  1. [1] Northwest Normal University

     Northwest Normal University

     China

     
  2. [2] University of Galway
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 3, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we study the forward asymptotic autonomy of attractors for stochastic reaction diffusion equations driven by nonlinear colored noise on unbounded domains.

    First, we prove the existence, uniqueness and forward compactness of pullback random attractors by the methods of spectral decomposition and the uniform tail-estimates of solutions in order to surmount the difficulties caused by the lack of compact Sobolev embeddings on unbounded domains. Then, we establish the forward asymptotic autonomy of pullback random attractors.

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