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

Rui Li | Zendy; Xing Lin | Zendy; Zongwei Ma | Zendy; Jingjun Zhang | Zendy

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

Author(s) -

Rui Li,

Xing Lin,

Zongwei Ma,

Jingjun Zhang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/193589

Subject(s) - uniqueness , mathematics , sobolev space , type (biology) , argument (complex analysis) , initial value problem , pure mathematics , mathematical analysis , cauchy problem , energy method , ecology , biochemistry , chemistry , biology

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

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