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

被引：4

作者：

Li, Rui ^{[1
]}

Lin, Xing ^{[1
]}

Ma, Zongwei ^{[1
]}

Zhang, Jingjun ^{[1
]}

机构：

[1] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2013年

基金：

美国国家科学基金会;

关键词：

NONLINEAR SCHRODINGER-EQUATION; FRACTIONAL QUANTUM-MECHANICS; LANGMUIR TURBULENCE; CAUCHY-PROBLEM; SMOOTH SOLUTION; WELL-POSEDNESS; ATTRACTOR;

D O I：

10.1155/2013/193589

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：7

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