The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov Equations

被引：3

作者：

Sun, Cong ^{[1
]}

Li, Lixia ^{[2
]}

机构：

[1] Jilin Univ Finance & Econ, Sch Appl Math, Changchun 130117, Jilin, Peoples R China

[2] Bohai Univ, Coll Math & Phys, Jinzhou 121013, Liaoning, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2018年 / 2018卷

关键词：

NONLINEAR-WAVE EQUATIONS;

D O I：

10.1155/2018/4820601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Through applying Galerkin method, we establish the approximating solution for one-dimension Klein-Gordon-Zakharov equations and obtain the local classical solution. By applying integral estimates, we also obtain the existence and uniqueness of the global classical solution of Klein-Gordon-Zakharov equations.

引用

页数：10

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