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Based on the notation of time-dependent attractors, we prove the existence and the regularity of time-dependent global attractors for a class of nonclassical reaction-diffusion equations when the forcing term \(g(x)\in H^{-1}(\Omega)\) and the nonlinear function satisfies the critical exponent growth, which is weaker than the conditions used in (Jing and Liu in Appl. Anal. 94(7):1439-1449, 2015).

Existence and regularity of time-dependent global attractors for the nonclassical reaction-diffusion equations with lower forcing term