Global strong solution to a nonlinear Dirac type equation in one dimension
Analysis of PDEs
2013-04-09 v1 Mathematical Physics
math.MP
Abstract
This paper studies a class of nonlinear massless Dirac equations in one dimension, which include the equations for massless Thirring model and massless Gross-Neveu model. Under the assumptions that the initial data has small charge and is bounded, the global existence of the strong solution is established. The decay of the local charge is also proved.
Cite
@article{arxiv.1205.4568,
title = {Global strong solution to a nonlinear Dirac type equation in one dimension},
author = {Yongqian Zhang},
journal= {arXiv preprint arXiv:1205.4568},
year = {2013}
}
Comments
11pages, submitted