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带外力的弱阻尼非线性原子格点方程的整体解
引用本文:程洁,戴正德.带外力的弱阻尼非线性原子格点方程的整体解[J].数学研究,2003,36(3):230-234.
作者姓名:程洁  戴正德
作者单位:云南大学数学系,云南,昆明,650091
摘    要:我们考虑如下方程的整体解的存在性:uxt 3/2ux^2uxx Uxxxx-sinu εux=f我们先给出了一致性先验估计,然后在H0^1∩H^2空间证明了整体解的存在性.

关 键 词:弱阻尼波  整体解  原子格点方程  存在性

Global Solution for Weakly Damped Nonlinear Wave with a Exterior force in Anharmonic Crystals
Cheng Jie,Dai Zhengde.Global Solution for Weakly Damped Nonlinear Wave with a Exterior force in Anharmonic Crystals[J].Journal of Mathematical Study,2003,36(3):230-234.
Authors:Cheng Jie  Dai Zhengde
Abstract:This paper deals with the existence of global solution for the weakly damped nonlinear wave with a exterior force in enharmonic crystal: We first derive uniform a priori estimates in time, and then prove the existence of the global solution in
Keywords:Weakly damped wave  global solution  anharmonic crystal
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