数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1455-1466.doi: 10.1016/S0252-9602(12)60115-5

• 论文 • 上一篇    下一篇

INITIAL BOUNDARY VALUE PROBLEM FOR MODIFIED ZAKHAROV EQUATIONS

游淑军1,2*|郭柏灵3|宁效琦2   

  1. 1. School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, China；
    2. Department of Mathematics, Huaihua University, Huaihua 418008, China；
    3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • 收稿日期:2010-11-02 修回日期:2011-10-26 出版日期:2012-07-20 发布日期:2012-07-20
  • 通讯作者: 游淑军,ysj980@yahoo.com.cn E-mail:ysj980@yahoo.com.cn; gbl@iapcm.ac.cn; nxq06@yahoo.cn
  • 基金资助:

    A Project Supported by Scientific Research Fund of Hunan Provincial Education Department (10C1056), Scientific Research Found of Huaihua University (HHUY2011-01).

INITIAL BOUNDARY VALUE PROBLEM FOR MODIFIED ZAKHAROV EQUATIONS

 YOU Shu-Jun1,2*, GUO Bai-Ling3, NING Xiao-Qi2   

  1. 1. School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, China；
    2. Department of Mathematics, Huaihua University, Huaihua 418008, China；
    3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2010-11-02 Revised:2011-10-26 Online:2012-07-20 Published:2012-07-20
  • Contact: YOU Shu-Jun,ysj980@yahoo.com.cn E-mail:ysj980@yahoo.com.cn; gbl@iapcm.ac.cn; nxq06@yahoo.cn
  • Supported by:

    A Project Supported by Scientific Research Fund of Hunan Provincial Education Department (10C1056), Scientific Research Found of Huaihua University (HHUY2011-01).

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摘要：

In this paper the authors consider the existence and uniqueness of the solution to the initial boundary value problem for a class of modified Zakharov equations, prove the global existence of the solution to the problem by a priori integral estimates and Galerkin method.

关键词: Zakharov equations, modified Zakharov equations, initial boundary value problem, existence of global solution

Abstract:

In this paper the authors consider the existence and uniqueness of the solution to the initial boundary value problem for a class of modified Zakharov equations, prove the global existence of the solution to the problem by a priori integral estimates and Galerkin method.

Key words: Zakharov equations, modified Zakharov equations, initial boundary value problem, existence of global solution

中图分类号: 

  • 35A05
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