English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we mainly study the regularity of pullback$\mathcal{D}$-attractors for a nonautonomous nonclassical diffusion equationwith delay term $b(t,u_t)$ which contains some hereditary characteristics.Under a critical nonlinearity $f$, a time-dependent force $g(t,x)$ withexponential growth and a delayed force term $b(t,u_t)$, we prove that thereexists a pullback $\mathcal{D}$-attractor $\mathcal{A}=\{A(t):t \in\mathbb{R}\}$ in $\mathbb{K}^1=H_0^1(\Omega) \times L^2((-h,0);L^2(\Omega))$ toproblem \eqref{ine01} and for each $t \in \mathbb{R}$, $A(t)$ is bounded in$\mathbb{K}^2=H^2(\Omega) \cap H_0^1(\Omega) \times L^2((-h,0);L^2(\Omega))$.

Regularity of pullback attractors for nonclassical diffusion equations with delay