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一个广义Boussinesq方程解的存在性与衰减性 被引量:1

Existence and Decay of Solutions for a Generalized Boussinesq Equation
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摘要 文章研究一个广义Boussinesq方程的Cauchy问题.利用长短波分解、Green函数办法和能量方法,证明全局解的存在性,并且给出解的Lp衰减估计. In this paper,we study the Cauchy problem for a generalized Boussinesq equation.By means of long wave-short wave decomposition,Green's function method and energy method,we show that the global solution is existed.We also give the Lpestimate.
作者 刘淼
出处 《应用数学》 CSCD 北大核心 2014年第4期797-804,共8页 Mathematica Applicata
基金 国家自然科学基金(11071162 11231006)
关键词 广义BOUSSINESQ方程 长短波分解 GREEN函数 能量方法 Generalized-Boussinesq Equation Long wave-short wave decomposition Green's function Energy method
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