非自治薛定谔格点方程的拉回和一致指数吸引子

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英文篇名：Pullback and Uniform Exponential Attractor for Non-autonomous Schr?dinger Lattice Equation 作者：周盛凡 ; 赵敏 ; 谭慧荣 英文作者：ZHOU SHENGFAN;ZHAO MIN;TAN HUIRONG;Department of Mathematics, Zhejiang Normal University;Department of Mathematics, Wenzhou University;Guangdong Bowen School,Zhongshan; 关键词：薛定谔格点系统 ; 拉回指数吸引子 ; 一致指数吸引子 ; 分形维数 英文关键词：Schr?dinger lattice system;;pullback exponential attractor;;uniform exponential attractor;;fractal dimension 中文刊名：YYSU 英文刊名：Acta Mathematicae Applicatae Sinica 机构：浙江师范大学数学系;温州大学数学系;广东省中山市广东博文学校; 出版日期：2019-03-15 出版单位：应用数学学报 年：2019 期：v.42 基金：国家自然科学基金(11871437,11801416);; 温州大学基金(135010121413)资助项目 语种：中文; 页：YYSU201902001 页数：17 CN：02 ISSN：11-2040/O1 分类号：3-19

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。
        In this paper, we mainly study the existence and fractal dimension of a pullback exponential attractor and a uniform exponential attractor for non-autonomous Schr?dinger lattice system. Firstly, we prove the existence of a pullback exponential attractor for the stochastic Schr?dinger lattice system with time-dependent coupled coefficients and forces.Then we prove the existence of a uniform exponential attractor for non-autonomous Schr?dinger lattice system driven by quasi-periodic external forces.

引文

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