GLOBAL EXISTENCE OF MAXWELL-KLEIN-GORDON FIELDS IN (2+1)-DIMENSIONAL SPACETIME

被引：29

作者：

MONCRIEF, V

机构：

[1] Department of Physics, Yale University, New Haven, CT 06520

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 08期

关键词：

D O I：

10.1063/1.524669

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the global existence problem for the Maxwell-Klein-Gordon equations in (2+1)-dimensional, Minkowski spacetime. We first establish local existence, in a suitable Sobolev space, by specializing to the Lorentz gauge and applying standard techniques. We then prove global existence by showing that an appropriate norm of the solutions cannot blow up in a finite time. An essential step in the proof involves showing that a certain second order energy" does not blow up. © 1980 American Institute of Physics."

引用

页码：2291 / 2296

页数：6