Well-posedness for a class of generalized Zakharov system

被引：5
|
作者：
You, Shujun [1 ]
Ning, Xiaoqi [1 ]
机构：
[1] Huaihua Univ, Sch Math Sci, Huaihua 418008, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Global solutions; Zakharov equations; well-posedness; CAUCHY-PROBLEM; EQUATIONS; SPACE;
D O I：
10.22436/jnsa.010.04.01
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence and uniqueness of the global smooth solution for the initial value problem of generalized Zakharov equations in dimension two. By means of a priori integral estimates and Galerkin method, we first construct the existence of global solution with some conditions. Furthermore, we prove that the global solution is unique. (C) 2017 All rights reserved.
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页码：1289 / 1302
页数：14
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