The Cauchy problem for space-time monopole equations in Sobolev spaces

被引：1

作者：

Huh, Hyungjin ^{[1
]}

Yim, Jihyun ^{[1
]}

机构：

[1] Chung Ang Univ, Dept Math, Seoul 156756, South Korea

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

WELL-POSEDNESS; ONE-DIMENSION;

D O I：

10.1063/1.5022866

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the initial value problem of space-time monopole equations in one space dimension with initial data in Sobolev space H-s. Observing null structures of the system, we prove local well-posedness in almost critical space. Unconditional uniqueness and global existence are proved for s >= 0. Moreover, we show that the H-1 Sobolev norm grows at a rate of at most c exp(ct(2)). Published by AIP Publishing.

引用

页数：10

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