Initial boundary value problem for nonlinear Dirac equation of Gross-Neveu type in 1+1 dimensions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:477

Article

Zhang, Yongqian¹  Zhao, Qin² 

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

关键词: Nonlinear Dirac equation;    Gross-Neveu model;    Global strong solution;    Bony type functional;    Glimm type functional;   

DOI  :  10.1016/j.jmaa.2019.04.058

来源: Elsevier

【 摘 要 】

This paper studies an initial boundary value problem for a class of nonlinear Dirac equations with cubic terms, which include the equations for the massive Thirring model and the massive Gross-Neveu model. Under the assumptions that the initial data has bounded L-2 norm and the boundary satisfies suitable conditions, the global existence and the uniqueness of the strong solution are proved. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free