Pullback attractors of nonautonomous reaction–diffusion equations
Pullback attractors of nonautonomous reaction–diffusion equations
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DOI：
10.1016/j.jmaa.2006.02.041
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发表时间：
2007-01
影响因子：
1.3
通讯作者：
Haitao Song;Hongqing Wu
中科院分区：
文献类型：
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作者：
Haitao Song;Hongqing Wu
本文首先在Banach空间中引入了范数-弱连续上圈的概念，并给出了证明这种连续性的技术方法，然后利用非紧性测度得到了关于这类上圈的拉回吸引子存在性的一些抽象结果.作为应用，我们证明了一类非线性非自治反应扩散方程解的上循环H_（01）中拉回吸引子的存在性。吸引子拉回吸引H 01的所有有界子集在H 01的范数下。
In this paper, firstly we introduce the concept of norm-to-weak continuous cocycle in Banach space and give a technical method to verify this kind of continuity, then we obtain some abstract results for the existence of pullback attractors about this kind of cocycle, using the measure of noncompactness. As an application, we prove the existence of pullback attractors in H01of the cocycle associated with the solutions for some nonlinear nonautonomous reaction–diffusion equations. The attractor pullback attracts all bounded subsets of H01in the norm of H01.