带有某种遗传特征的非经典反应扩散方程的渐近行为

Asymptotic Behavior of the Nonclassical Reaction-diffusion Equations Containing some Hereditary Characteristic

本文证明带有时滞项g(t,u_(t))的非经典反应扩散方程在依赖于时间的空间中拉回吸引子的存在性,其中外力项k∈x)∈H^(-1)(Ω),非线性项f分别满足临界指数增长和任意q-1(q≥2)次多项式增长.

We prove the existence of the pullback attractors in the time-dependent space for the nonclassical reaction-diffusion equations with delay term g(t,ut),the forcing term k(x)∈H^(-1)(Ω)and the nonlinearity f satisfying the critical exponent growth and the polynomial growth of arbitrary q-1(q≥2)order.