非自治Klein-Gordon-Schrdinger格点动力系统的一致吸引子

黄锦舞; 韩晓莹; 周盛凡

doi:10.3879/j.issn.1000-0887.2009.12.011

非自治Klein-Gordon-Schrdinger格点动力系统的一致吸引子

doi: 10.3879/j.issn.1000-0887.2009.12.011

上海师范大学数理学院,上海 200234;2.奥本大学数学与统计系,奥本 36849,美国

基金项目: 国家自然科学基金资助项目(10771139);上海市教委创新科研资助项目(08ZZ70)

详细信息

作者简介:
黄锦舞(1982- ),男,湖北人,硕士(Tel:+86-21-64324910;E-mail:eyesonme_hmily1026@hotmail.com);周盛凡,男,教授(联系人.Tel:+86-21-64323887;E-mail:sfzhou@shnu.edu.cn).

中图分类号: O175.15
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出版历程
- 收稿日期: 2009-03-13
- 修回日期: 2009-10-19
- 刊出日期: 2009-12-15

Uniform Attractor for Non-Autonomous Klein-Gordon-Schrêinger Lattice System

Department of Applied Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China;

摘要

摘要: 首先证明了耗散的非自治Klein-Gordon-Schrdinger格点动力系统的解确定的一族过程的紧一致吸引子的存在性．其次得到了该紧一致吸引子的Kolmogorov熵的一个上界．最后建立了该紧一致吸引子的上半连续性．
- 紧一致吸引子 /
- 非自治 /
- Klein-Gordon-Schrdinger格点系统 /
- Kolmogorov熵 /
- 上半连续性
Abstract: Firstly the existence of a compact uniform attractor for a family of processes corresponding to the dissipative non-autonomous Klein-Gordon-Schrêinger lattice dynamical system was proved.Then an upper bound of the Kolmogorov entropy of the compact uniform attractor was obtained.Finally an upper semicontinuity of the compact uniform attractor was established.
- compact uniform attractor /
- non-autonomous /
- Klein-Gordon-Schrêinger lattice system /
- Kolmogorov entropy /
- upper semicontinuity

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参考文献(19)

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