%0 Journal Article
%T 无界域上非自治Reaction-Diffusion方程的后向紧动力学<br>The Backward Compact Dynamics for Non-Autonomous Reaction-Diffusion Equations on Unbounded Domains
%A 佘连兵
%A 李信韬
%A 李扬荣&lt
%A br&gt
%A SHE Lian-bing
%A LI Xin-tao
%A LI Yang-rong
%J 西南大学学报(自然科学版)
%D 2018
%R 10.13718/j.cnki.xdzk.2018.09.010
%X 在非自治外力项是后向<i>λ</i>-缓增有限的和后向尾部渐近趋于零的假设条件下，运用cut-off函数、后向Granwall不等式、后向Granwall-type不等式获得了无界域上非自治Reaction-Diffusion方程拉回吸引子的后向紧性.<br>The backward compactness of attractors for non-autonomous reaction-diffusion equations on unbounded domains is obtained under the conditions of both backward <i>λ</i>-tempered finiteness and backward tail-smallness for the non-autonomous force by using a cut-off function, a backward Granwall inequality and a backward Granwall-type inequality
%K 非自治动力系统
%K 后向紧动力
%K cut-off函数
%K 无界域&lt
%K br&gt
%K non-autonomous dynamical system
%K backward compact dynamics
%K cut-off function
%K unbounded domain
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/9/20180910.htm