Small data global regularity for half-wave maps in n = 4 dimensions.

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2021-06-15 eCollection Date: 2021-01-01 DOI:10.1080/03605302.2021.1936021

Anna Kiesenhofer, Joachim Krieger

引用次数: 5

Abstract

We prove that the half-wave maps problem on $R^{4 + 1}$ with target S ² is globally well-posed for smooth initial data which are small in the critical l ¹ based Besov space. This is a formal analogue of the result proved by Tataru for wave maps.

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n = 4维半波图的小数据全局正则性。

我们证明了r4 + 1上目标s2的半波映射问题对于初始数据很小且光滑的Besov空间是全局适定的。这是Tataru对波浪图证明的结果的正式模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.