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Existence and Uniqueness of Solutions for a Type of Generalized Zakharov System

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  • Rui Li
  • Xing Lin
  • Zongwei Ma
  • Jingjun Zhang

Abstract

We study the Cauchy problem for a type of generalized Zakharov system. With the help of energy conservation and approximate argument, we obtain global existence and uniqueness in Sobolev spaces for this system. Particularly, this result implies the existence of classical solution for this generalized Zakharov system.

Suggested Citation

  • Rui Li & Xing Lin & Zongwei Ma & Jingjun Zhang, 2013. "Existence and Uniqueness of Solutions for a Type of Generalized Zakharov System," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, December.
    • Handle: RePEc:hin:jnljam:193589
    DOI: 10.1155/2013/193589
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