Global solutions to space-time monopole equations in one space dimension

被引：5

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 ANALYSIS AND APPLICATIONS | 2015年 / 432卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Space-time monopole equations; L-p estimates; Global existence;

D O I：

10.1016/j.jmaa.2015.06.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove global existence of solutions to space-time monopole equations in one space dimension. Observing the null structure of the system, we first prove local existence in L-p by applying a bilinear estimate. From a priori L-p estimates, we can extend the local solution to the global one. For the critical case L-1, the concentration of the solution is denied to show the time global solvability. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：74 / 85

页数：12

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