删除或更新信息,请邮件至freekaoyan#163.com(#换成@)

非自治薛定谔格点方程的拉回和一致指数吸引子

本站小编 Free考研考试/2021-12-27

非自治薛定谔格点方程的拉回和一致指数吸引子 周盛凡1, 赵敏2, 谭慧荣31. 浙江师范大学数学系, 金华 321004;
2. 温州大学数学系, 温州 325035;
3. 广东省中山市广东博文学校, 中山 528437 Non-autonomous Schrödinger Lattice Equation ZHOU Shengfan1, ZHAO Min2, TAN Huirong31. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China;
2. Department of Mathematics, Wenzhou University, Wenzhou 325035, China;
3. Guangdong Bowen School, Zhongshan 528437, China
摘要
图/表
参考文献
相关文章(4)
点击分布统计
下载分布统计
-->

全文: PDF(374 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)
摘要主要考虑非自治薛定谔格点系统的拉回指数吸引子和一致指数吸引子的存在性以及它们的分形维数.首先,证明具时变耦合系数的薛定谔格点系统在依时间外力作用下的拉回指数吸引子的存在性;然后,证明拟周期外力驱动下的非自治薛定谔格点系统的一致指数吸引子的存在性.
服务
加入引用管理器
E-mail Alert
RSS
收稿日期: 2016-09-22
PACS:O175.8
基金资助:国家自然科学基金(11871437,11801416)和温州大学基金(135010121413)资助项目.

引用本文:
周盛凡, 赵敏, 谭慧荣. 非自治薛定谔格点方程的拉回和一致指数吸引子[J]. 应用数学学报, 2019, 42(2): 145-161. ZHOU Shengfan, ZHAO Min, TAN Huirong. Non-autonomous Schrödinger Lattice Equation. Acta Mathematicae Applicatae Sinica, 2019, 42(2): 145-161.
链接本文:
http://123.57.41.99/jweb_yysxxb/CN/ http://123.57.41.99/jweb_yysxxb/CN/Y2019/V42/I2/145


[1] Chate H, Courbage M. Lattice systems. Physica D, 1997, 10:1-612
[2] Chow S. Lattice Dynamical Systems. In:Dynamical Systems, Springer-Verlag, 2003
[3] Bates P, Lisei H, Lu K N. Attractors for stochastic lattice dynamical systems. Stoch. Dyn., 2006, 6(1):1-21
[4] Chen T, Zhou S F, Zhao C D. Attractors for discrete nonlinear Schrödinger equation with delay. Acta Math. Appl. Sin. Engl. Ser., 2010, 26(4):633-642
[5] Han X Y, Shen W X, Zhou S F. Random attractors for stochastic lattice dynamical systems in weighted spaces. J. Differential Equations, 2011, 250(3):1235-1266
[6] Karachalios N, Yannacopoulos A. Global existence and compact attractors for the discrete nonlinear Schrödinger equation. J. Differential Equations, 2005, 217(1):88-123
[7] Zhao X Q, Zhou S F. Kernel sections for processes and nonautonomous lattice systems. Discrete Contin. Dyn. Syst. Ser. B, 2008, 9(3-4):763-785
[8] Zhou S F, Zhao C D, Liao X Y. Compact uniform attractors for dissipative non-autonomous lattice dynamical systems. Commun. Pure Appl. Anal., 2007, 6(4):1087-1111
[9] Eden A, Foias C, Nicolaenko B, Temam R. Exponential attractors for dissipative evolution equations. Res. Appl. Math., 1996
[10] Fan X M, Yang H. Exponential attractor and its fractal dimension for a second order lattice dynamical system. J. Math. Anal. Appl., 2010, 367(2):350-359
[11] Abdallah A. Uniform exponential attractors for first order non-autonomous lattice dynamical systems. J. Differential Equations, 2011, 251(6):1489-1504
[12] Abdallah A. Uniform exponential attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems in weighted spaces. Nonlinear Anal., 2015, 127:279-297
[13] Li X J, Wei K J, Zhang H Y. Exponential attractors for lattice dynamical systems in weighted spaces. Acta Appl. Math., 2011, 114(3):157-172
[14] 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. 数学学报, 2010, 53(2):233-242(Zhao C D, Zhou S F. Sufficient Conditions for the Existence of Exponential Attractors for Lattice Systems and Applications. Acta Mathematica Sinica, 2010, 53(2):233-242)
[15] Zhou S F, Han X Y. Pullback exponential attractors for non-autonomous lattice systems. J. Dynam. Differential Equations, 2012, 24(3):601-631
[16] Zhou S F, Han X Y. Uniform exponential attractors for non-autonomous KGS and Zakharov lattice systems with quasiperiodic external forces. Nonlinear Anal., 2013, 78(1):141-155
[17] 周盛凡, 谭慧荣. 非线性薛定谔格点方程的指数吸引子. 浙江师范大学学报:自然科学版, 2015, 38(4):361-365(Zhou S F, Tan H R. Exponential attractor for nonlinear Schrödinger lattice equation. Journal of Zhejiang Normal University (Nat. Sci.), 2015, 38(4):361-365)

[1]黄锦舞, 周盛凡, 赵艳菊. Klein-Gordon-Schrödinger格点系统全局吸引子的分形维数[J]. 应用数学学报(英文版), 2010, 33(3): 443-451.
[2]郭柏灵, 李用生. Davey-Stewartson方程解的长时间性态[J]. 应用数学学报(英文版), 2001, 17(1): 86-97.
[3]郭柏灵, 李用生. Davey-Stewartson方程解的长时间性态[J]. 应用数学学报(英文版), 2001, 17(1): 86-97.
[4]黄煜. 具阻尼的非线性波动方程整体吸引子的Hausdorff维数、分形维数估计[J]. 应用数学学报(英文版), 1998, 21(2): 0-0.



PDF全文下载地址:

http://123.57.41.99/jweb_yysxxb/CN/article/downloadArticleFile.do?attachType=PDF&id=14598
相关话题/应用数学 系统 温州大学 浙江师范大学 数学系