Optimal blowup stability for supercritical wave maps

被引：0
|
作者：
Donninger, Roland [1 ]
Wallauch, David [1 ]
机构：
[1] Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
来源：
ADVANCES IN MATHEMATICS | 2023年 / 433卷
基金：
奥地利科学基金会;
关键词：
Wave maps; Blowup; Stability; Self-similar; LARGE ENERGY SOLUTIONS; SELF-SIMILAR BLOWUP; GLOBAL REGULARITY; MODE-STABILITY; WELL-POSEDNESS; STABLE BLOWUP; EQUIVARIANT; SINGULARITIES; SCATTERING; EXISTENCE;
D O I：
10.1016/j.aim.2023.109291
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study corotational wave maps from (1 + 4)-dimensional Minkowski space into the 4-sphere. We prove the stability of an explicitly known self-similar wave map under perturbations that are small in the critical Sobolev space. (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
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