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Zhao, W. (2018) Random Dynamics of Non-Autonomous Semi-Linear Degenerate Parabolic Equations on Driven by an Unbounded Additive Noise. Discrete and Continuous Dynamical Systems Series B, 23, 2499-2526.
https://doi.org/10.3934/dcdsb.2018065

has been cited by the following article:

• TITLE: Weak Pullback Attractors of Stochastic Semilinear Degenerate Equations with Memory Driven by Nonlinear Noise

  AUTHORS: Ximeng Liu

  KEYWORDS: Semilinear Degenerate Equation, Weak Pullback Mean Random Attractor, Nonlinear Noise, Memory

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.11, November 10, 2025

  ABSTRACT: This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n . We primarily provide sufficient conditions for studying such problems, including the degenerate term div{ a( x )∇u } , nonlinear drift, and diffusion terms. Based on these conditions, we establish the existence of weakly compact pullback absorbing sets and further obtain the existence and uniqueness of weak D -pullback mean random attractors.