期刊论文

Xie, Yongqin

英文

Journal of Mathematical Physics

0022-2488

2012

53

8

082703

10.1063/1.4746693

The authors would like to express their sincere thanks to the referee for his/her valuable comments and suggestions. This work was supported partly by the NSFC (Grant No. 11031003), the Fundamental Research Funds for the Central Universities lzujbky-2012-10, and the Scientific Research Fund of Hunan Provincial Education Department (Grant Nos. 11A008 and 10C0402).

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In this paper, we introduce a new class of functions satisfying spacial absolutely continuous (see Definition 3.1), denoted by \documentclass[12pt]{minimal}\begin{document}$L^{2}_{sac}(\mathbb {R};\mathbb {R}^{n})$\end{document}Lsac2(R;Rn), which are translation bounded but not normal (see [S. S. Lu, H. Q. Wu, and C. K. Zhong, “Attractors for non-autonomous 2D Navier-Stokes equations with normal external forces,” Discrete Contin. Dyn. Syst. A 13(3), 701−719 (2005)]10.3934/dcds.2005.13.701 and Definition 3.1) in \documentclass[12pt]{minimal}...