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.

引用

页码：4486 / 4523

页数：38

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