Open AccessAttractors for a class of perturbed nonclassical diffusion equations with memory
Author(s) -
Jianbo Yuan,
Shixuan Zhang,
Yingchao Xie,
Jiangwei Zhang
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021261
Subject(s) - mathematics , attractor , type (biology) , pure mathematics , mathematical analysis , biology , ecology
In this paper, using a new operator decomposition method (or framework), we establish the existence, regularity and upper semi-continuity of global attractors for a perturbed nonclassical diffusion equation with fading memory. It is worth noting that we get the same conclusion in [ 7 , 14 ] as the perturbed parameters \begin{document}$ \nu = 0 $\end{document} , but the nonlinearity \begin{document}$ f $\end{document} satisfies arbitrary polynomial growth condition rather than critical exponential growth condition.