Strong pullback attractors for a nonclassical diffusion equation | Zendy

Xiaolei Dong | Zendy; Yuming Qin | Zendy

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Strong pullback attractors for a nonclassical diffusion equation

Author(s) -

Xiaolei Dong,

Yuming Qin

Publication year - 2022

Publication title -

discrete and continuous dynamical systems - 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.

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