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| 格点系统存在指数吸引子的充分条件及应用 | |
| 引用本文： | 赵才地,周盛凡. 格点系统存在指数吸引子的充分条件及应用[J]. 数学学报, 2010, 53(2): 233-242 |
| 作者姓名： | 赵才地 周盛凡 |
| 作者单位： | 温州大学数学与信息科学学院;华中科技大学数学与统计学院;上海师范大学应用数学系; |
| 基金项目： | 国家自然科学基金资助项目(10901121,10826091,10771139); 浙江省自然科学基金资助项目(Y6080077); 温州大学青年基金项目(2008YYLQ01) |
| 摘 要： | 本文给出了一般格点动力系统存在指数吸引子的充分条件,然后将得到的结果应用到下面的格点非线性Schr(o|¨)dinger方程:iu_m-γ(2u_m-u_(m+1)-u_(m-1))+iκu_m+δ|u_m|~(2σ)u_m=g_m,m∈Z.设γ,κ,δ,σ和g_m满足适当的条件,证明了该格点方程存在指数吸引子. |
| 关 键 词： | 指数吸引子 格点系统 非线性Schr(o|¨)dinger方程 |
| 收稿时间： | 2008-09-01 |
| 修稿时间： | 2009-07-06 |
Sufficient Conditions for the Existence of Exponential Attractors for Lattice Systems and Applications |
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| Cai Di ZHAO. Sufficient Conditions for the Existence of Exponential Attractors for Lattice Systems and Applications[J]. Acta Mathematica Sinica, 2010, 53(2): 233-242 | |
| Authors: | Cai Di ZHAO |
| Affiliation: | 1. Department of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, P. R. China; 2. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China; 3. Department of Applied Mathematics, Shanghai Normal University, Shanghai 200444, P. R. China |
| Abstract: | We first recast some sufficient conditions for the existence of exponential attractors for general lattice dynamical systems. Then we apply the result to the following nonlinear Schrödinger equations on infinite lattices:  Under some conditions on γ, κ,δ,σ and gm, the existence of exponential attractors is established. |
| Keywords: | exponential attractor lattice systems nonlinear Schrö dinger equations |
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