JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (9): 66-80.doi: 10.6040/j.issn.1671-9352.0.2020.711

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Attractors for the non-autonomous nonclassical diffusion equation with fading memory

LI You-ling, WANG Xuan*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2021-09-13

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Abstract: The long-time dynamical behavior of solutions for the non-autonomous nonclassical diffusion equation with fading memory and subcritical nonlinearity is discussed in the space H10(Ω)×L2μ(R+;H10(Ω)). When the external term g(x,t) is only translation bounded instead of translation compact, by means of the asymptotic regularity estimate technique, the existence and topological structure of a compact uniform attractor is obtained.

Key words: non-autonomous nonclassical diffusion equation, uniform attractor, subcritical growth, asymptotic regularity, fading memory

CLC Number: 

  • O175.26
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