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

摘要

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 ) ∈ H − 1 ( Ω ) $g(x)in H^{-1}(Omega)$ 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).