摘要
利用加强的平坦性条件,证明了带有导数项的反应扩散方程当外力项g(x,t)仅满足平移有界,与时间有关的非线性项f满足临界增长时,指数吸引子的存在性。
The paper established the existence of exponential attractors for a non - autonomous reaction - diffusion equation g （x, t）with distribution derivatives by a method of enhanced flattening properly when nonlinear term f is a polynomial growth of arbitraPy order and external force term translation bounded.
作者
曹兰兰
姜金平
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)
出处
《延安大学学报（自然科学版）》
2018年第3期17-20,共4页
Journal of Yan'an University：Natural Science Edition
基金
陕西省自然科学基础研究项目(2018JM1042)
关键词
非自治反应扩散方程
指数吸引子
导数项
加强的平坦性条件
non -autonomous reactive diffusion equation
exponential attractor
distribution derivatives
enhanced flattening properly
