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,ut)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.
非经典反应扩散方程 / 时滞 / 临界指数增长 / 任意次多项式增长 / 拉回吸引子 {{custom_keyword}} /
nonclassical reaction-diffusion equations / delays / critical exponent growth / polynomial growth of arbitrary order / pullback attractors {{custom_keyword}} /
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湖南省自然科学基金(2018JJ2416)及湖南省教育厅科学研究基金(20C1263);湖南文理学院科技创新团队资助项目(数值计算与随机过程及其应用)
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