Pullback attractors of non-autonomous reaction–diffusion equations in H01☆
Pullback attractors of non-autonomous reaction–diffusion equations in H01☆
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DOI：
10.1016/j.jde.2010.07.034
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发表时间：
2010-11
影响因子：
2.4
通讯作者：
Haitao Song
中科院分区：
文献类型：
--
作者：
Haitao Song
利用基于有界集非紧性的Kuratowski测度概念的方法和一些新的解估计，证明了非自治反应扩散方程过程在H01（Ω）中不受非线性项增长阶数限制（p>2是任意的）的唯一最小回拉吸引子的存在性。此外，与Song and Wu(2007)[25]和Li et al.(2009)[18]的早期类似研究相比，外力g(t)只满足较弱的可积条件。
Using a method based on the concept of the Kuratowski measure of noncompactness of a bounded set as well as some new estimates of the solutions we prove the existence of a unique minimal pullback attractor in H01(Ω) for the process associated with non-autonomous reaction–diffusion equation without any restriction on the growing order of nonlinear terms (p>2 is arbitrary). In addition, the external forces g(t) satisfy only the weaker integrability condition than in the earlier similar research of Song and Wu (2007) [25] and Li et al. (2009) [18].