Initial-boundary value problem for the one dimensional Thirring model

被引：34
|
作者：
Naumkin, I. P. [1 ,2 ]
机构：
[1] Univ Paris 06, BC 187,4 Pl Jussieu, F-75252 Paris 05, France
[2] CNRS, Lab Jacques Louis Lions, BC 187,4 Pl Jussieu, F-75252 Paris 05, France
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 261卷 / 08期
关键词：
NONLINEAR DIRAC-EQUATION; ONE SPACE DIMENSION; WELL-POSEDNESS; GLOBAL-SOLUTIONS; QUADRATIC NONLINEARITIES; SCHRODINGER-EQUATIONS;
D O I：
10.1016/j.jde.2016.07.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the inhomogeneous Dirichlet initial-boundary value problem for the one dimensional Thirring model. We prove the local existence of solutions and global existence of small solutions. Moreover, we obtain a sharp estimate in the uniform norm for the global solutions and we prove the existence of a modified low-energy scattering for this model. (C) 2016 Elsevier Inc. All rights reserved.
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页码：4486 / 4523
页数：38
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