Global attractors for the discrete Klein-Gordon-Schr�dinger type equations

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109222

Title:	Global attractors for the discrete Klein-Gordon-Schr�dinger type equations
Authors:	許正雄;Li, Chunqiu;Hsu, Cheng Hsiung;Lin, Jian Jhong;Zhao, Caidi
Contributors:	理學院數學系
Keywords:	absorbing set;Asymptotic methods;asymptotic nullness;Asymptotic properties;Cauchy problem;Cauchy problems;Fractal analysis;fractal dimension;Fractals;global attractor;Hilbert space;Kernels;Lattice theory;Lattices;Mathematical analysis;Schrodinger equation;truncation technique;Uniqueness
Date:	2014-01-01
Issue Date:	2026-04-23 16:16:27 (UTC+8)
Publisher:	Taylor and Francis Ltd.;Abingdon: Taylor & Francis
Abstract:	摘要： The purpose of this work is to investigate the asymptotic behaviours of solutions for the discrete Klein-Gordon-Schrödinger type equations in one-dimensional lattice. We first establish the global existence and uniqueness of solutions for the corresponding Cauchy problem. According to the solution's estimate, it is shown that the semi-group generated by the solution is continuous and possesses an absorbing set. Using truncation technique, we show that there exists a global attractor for the semi-group. Finally, we extend the criteria of Zhou et al. [S. Zhou, C. Zhao, and Y. Wang, Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems, Discrete Contin. Dyn. Syst. A 21 (2008), pp. 1259-1277.] for finite fractal dimension of a family of compact subsets in a Hilbert space to obtain an upper bound of fractal dimension for the global attractor. 出版者： Abingdon: Taylor & Francis 出版日期： 2014-10-03 出處： Journal of difference equations and applications, 2014-10, Vol.20 (10), p.1404-1426 版權： 2014 Taylor & Francis 2014 版權： Copyright Taylor & Francis Ltd. 2014 識別號： ISSN: 1023-6198 識別號： EISSN: 1563-5120 識別號： DOI: 10.1080/10236198.2014.933821
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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