An rp-weighted local energy approach to global existence for null form semilinear wave equations

被引：0

作者：

Facci, Michael ^{[1
]}

McEntarrfer, Alex ^{[1
]}

Metcalfe, Jason ^{[1
]}

机构：

[1] Univ N Carolina, Dept Math, Chapel Hill, NC 27515 USA

来源：

INVOLVE, A JOURNAL OF MATHEMATICS | 2024年 / 17卷 / 01期

基金：

美国国家科学基金会;

关键词：

semilinear wave equations; null condition; global existence; local energy estimate; EXTERIOR; DECAY;

D O I：

10.2140/involve.2024.17.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We revisit the proof of small -data global existence for semilinear wave equations that satisfy a null condition. This new approach relies on a weighted local energy estimate that is akin to those of Dafermos and Rodnianski. Using weighted Sobolev estimates to obtain spatial decay and arguing in the spirit of the work of Keel, Smith, and Sogge, we are able to obtain global existence while only relying on translational and (spatial) rotational symmetries.

引用

页码：1 / 9

页数：14

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