Cauchy problem of the generalized Zakharov type system in R2

被引：0
作者：
You, Shujun [1 ]
Ning, Xiaoqi [1 ]
机构：
[1] Huaihua Univ, Dept Math, Huaihua 418008, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
Zakharov system; Cauchy problem; existence; uniqueness; KUZNETSOV EQUATION;
D O I：
10.1186/s13660-017-1306-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the initial value problem for a two-dimensional generalized Zakharov system with quantum effects. We prove the existence and uniqueness of global smooth solutions to the initial value problem in the Sobolev space through making a priori integral estimates and the Galerkin method.
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页数：12
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