Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (5): 842-849.

• Articles • Previous Articles     Next Articles

Uniqueness of the Solution and Energy Decay for Nonlinear KGS System

 SHI Qi-Hong   

  1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000;
    Department of Basic Sciences, Hebei Finance University, Hebei Baoding 071051
  • Received:2012-04-18 Revised:2013-05-16 Online:2013-10-25 Published:2013-10-25
  • Supported by:

    河北省自然科学基金(A2013410007)和河北省高校自然科学基金(Z2011111)资助.

Abstract:

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.

Key words: Nonlinear, Klein-Gordon-Schr\"{o}dinger, Uniqueness, Purterbation energy, Uniform decay

CLC Number: 

  • 35B25
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