EXPONENTIAL ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE SYSTEM
EXPONENTIAL ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE SYSTEM
复制标题
DOI：
10.2969/jmsj/06320647
复制
发表时间：
2011-04
影响因子：
0.7
通讯作者：
M. Efendiev;Yoshitaka Yamamoto;A. Yagi
中科院分区：
文献类型：
--
作者：
M. Efendiev;Yoshitaka Yamamoto;A. Yagi
。在本文中，我们将介绍非自治方程的指数吸引子版本，作为具有一致有界有限分形维数的时间相关集，它是正不变的并且以指数速率吸引每个有界集。这是现有的自治方程概念的自然推广。生成定理将在演化算子是收缩的紧摄动的假设下得到证明。在论文的后半部分，这些结果将应用于一些非自主趋化系统。
. In this paper we will introduce a version of exponential at- tractor for non-autonomous equations as a time dependent set with uniformly bounded finite fractal dimension which is positively invariant and attracts every bounded set at an exponential rate. This is a natural generalization of the existent notion for autonomous equations. A generation theorem will be proved under the assumption that the evolution operator is a compact perturbation of a contraction. In the second half of the paper, these results will be applied to some non-autonomous chemotaxis system.