SCATTERING FOR THE RADIAL DEFOCUSING CUBIC NONLINEAR WAVE EQUATION WITH INITIAL DATA IN THE CRITICAL SOBOLEV SPACE

被引：6

作者：

Dodson, Benjamin ^{[1
]}

机构：

[1] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2021年 / 170卷 / 15期

基金：

美国国家科学基金会;

关键词：

scattering; global well-posedness; critical regularity; GLOBAL WELL-POSEDNESS; EXISTENCE; REGULARITY; DECAY;

D O I：

10.1215/00127094-2021-0052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove global well- posedness and scattering for the defocusing cubic nonlinear wave equation on R1+3 with radial initial data lying in the critical Sobolev space (H) over dot(1/2) (R-3) x (H) over dot(-1/2) (R-3). This result is sharp for radial initial data.

引用

页码：3267 / 3321

页数：55

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