Articles

INITIAL BOUNDARY VALUE PROBLEM FOR MODIFIED ZAKHAROV EQUATIONS

  • YOU Shu-Jun ,
  • GUO Bai-Ling ,
  • NING Xiao-Qi
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  • 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 date: 2010-11-02

  Revised date: 2011-10-26

  Online published: 2012-07-20

Supported by

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

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.

Cite this article

YOU Shu-Jun , GUO Bai-Ling , NING Xiao-Qi . INITIAL BOUNDARY VALUE PROBLEM FOR MODIFIED ZAKHAROV EQUATIONS[J]. Acta mathematica scientia, Series B, 2012 , 32(4) : 1455 -1466 . DOI: 10.1016/S0252-9602(12)60115-5

References

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