Global solution to nonlinear Dirac equation for Gross-Neveu model in 1+1 dimensions

被引：10
|
作者：
Zhang, Yongqian [1 ]
Zhao, Qin [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 118卷
关键词：
Nonlinear Dirac equation; Gross-Neveu model; Global strong solution; Bony type functional; Glimm type functional; CAUCHY-PROBLEM; EXISTENCE;
D O I：
10.1016/j.na.2015.02.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies a class of nonlinear Dirac equations with cubic terms in R1+1, which include the equations for the massive Thirring model and the massive Gross- Neveu model. Under the assumption that the initial data has bounded L-2 norm, the global existence and the uniqueness of the strong solution in C([0, infinity), L-2( R-1)) are proved. (C) 2015 Elsevier Ltd. All rights reserved.
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页码：82 / 96
页数：15
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