Open AccessStrong pullback attractors for a nonclassical diffusion equation
Author(s) -
Xiaolei Dong,
Yuming Qin
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.2021313
Subject(s) - omega , uniqueness , mathematics , pullback , attractor , boundary (topology) , dirichlet boundary condition , pullback attractor , mathematical analysis , pure mathematics , combinatorics , physics , quantum mechanics
In this paper, we investigate the existence of pullback attractors for a nonclassical diffusion equation with Dirichlet boundary condition in \begin{document}$ H^2(\Omega)\cap H^1_0(\Omega) $\end{document} . First, we prove the existence and uniqueness of strong solutions for a nonclassical diffusion equation. Then we prove the existence of pullback attractors in \begin{document}$ H^2(\Omega)\cap H^1_0(\Omega) $\end{document} by applying asymptotic a priori estimate method.