带有导数项的非自治反应扩散方程一致吸引子的存在性  

The Existence of Uniform Attractors for Nonautonomous Reaction-Diffusion Equations with Derivative Terms

作　　者：曹兰兰 姜金平[1] 曹伯芳 CAO Lan-lan;JIANG Jin-ping;CAO Bo-fang(College of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院

出　　处：《云南师范大学学报（自然科学版）》2019年第5期33-40,共8页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：陕西省自然科学基础研究基金资助项目(2018JM1042)

摘　　要：当外力项g∈L^2b(R,L^2(R^n))是平移有界的正规函数f∈C^1(R)时,通过证明在有界域(L^2(R^n),L^2(R^n))和无界域(L^2(R^n),L^p(R^n))上存在一致有界吸收集和对应的过程族满足一致渐进先验估计,得到带有导数项的非自治反应扩散方程一致吸引子的存在性.When the external force term is a normal function with translational boundary, the existence of uniform attractors for non-autonomous reaction-diffusion equations with derivative terms is obtained by proving the existence of uniformly bounded absorption sets and corresponding process families in both bounded and unbounded domains satisfying the uniformly asymptotic prior estimation method.

关 键 词：非自治反应扩散方程 一致吸引子 渐近紧性 

分 类 号：O177.92[理学—数学]