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非线性KGS系统解的唯一性和能量衰减

Uniqueness of the Solution and Energy Decay for Nonlinear KGS System
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摘要 作为前期研究工作的延续,该文借助于积分型函数,利用能量方法证明了在3+1维空间中具有阻尼项的非线性Klein-Gordon-Schrdinger系统解的唯—性.此外,运用摄动方法,获得了该系统能量的一致衰减估计. As a continuation of previous work,in this paper,using energy method,we prove the uniqueness of the solution for nonlinear Klein-Gordon-Schr(o)dinger system with the aid of an integral-type function.On the other hand,by utlizing the purterbation method,we get the uniform decay of the system energy.
作者 石启宏
出处 《数学物理学报(A辑)》 CSCD 北大核心 2013年第5期842-849,共8页 Acta Mathematica Scientia
基金 河北省自然科学基金(A2013410007) 河北省高校自然科学基金(Z2011111)资助
关键词 非线性 Klein-Gordon-Schrodinger 唯一性 摄动能量 一致衰减 Nonlinear Klein-Gordon-Schr(o)dinger Uniqueness Purterbation energy Uniform decay
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参考文献18

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