摘要：Based on semigroup theory and the method of contractive function, we prove the existence of global attractors for a nonclassical diffusion equation with fading memory in the space H 2 ( Ω ) ∩ H 0 1 ( Ω ) × L μ 2 ( R + ; H 2 ( Ω ) ∩ H 0 1 ( Ω ) ) $H^,(\Omega)\cap H_(^)(\Omega) \times L_{\mu}^,(\mathbb{R}^{+};H^,(\Omega)\cap H_(^)(\Omega))$ , when the nonlinearity satisfies arbitrary polynomial growth.
