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Zhang, J.W., Xie, Z. and Xie, Y.Q. (2024) Long-Time Behavior of Nonclassical Diffusion Equations with Memory on Time-Dependent Spaces. Asymptotic Analysis, 137, 267-289.
https://doi.org/10.3233/ASY-231887

has been cited by the following article:

• TITLE: Global Attractors for Nonclassical Diffusion Equations with State Delay

  AUTHORS: Na Ma, Qiaozhen Ma

  KEYWORDS: Non-Classical Diffusion Equation, State Delay, Global Attractor

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.11, November 3, 2025

  ABSTRACT: This paper first uses the Banach fixed point theorem and operator semigroup theory to prove the existence and uniqueness of mild solutions for non-classical reaction diffusion equations with state delays and their continuous dependence on the initial values. Secondly, by combining quasi-stability, the asymptotic smoothness of the relevant semigroup is obtained. Finally, the existence of a global attractor with a finite fractal dimension is obtained.