LOW REGULARITY GLOBAL SOLUTIONS OF THE DIRAC-KLEIN-GORDON EQUATIONS IN ONE SPACE DIMENSION

被引：0

作者：

Bournaveas, Nikolaos ^{[1
]}

Gibbeson, Dominic ^{[1
]}

机构：

[1] Univ Edinburgh, Sch Math, JCMB, Edinburgh EH9 3JZ, Midlothian, Scotland

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2006年 / 19卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove global existence for the Dirac-Klein-Gordon equations in one space dimension with psi is an element of L-2 (charge class) and phi is an element of H-1/4. This improves the global existence result of Fang [7] by 1/4 + epsilon derivatives in phi. The proof relies on bilinear estimates for solutions of the Dirac equation and a decomposition of the spinor field into 'left' and 'right' spinors.

引用

页码：211 / 222

页数：12

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