STRICHARTZ ESTIMATES IN SIMILARITY COORDINATES AND STABLE BLOWUP FOR THE CRITICAL WAVE EQUATION

被引：21
|
作者：
Donninger, Roland [1 ,2 ]
机构：
[1] Rhein Friedrich Wilhelms Univ Bonn, Math Inst, Bonn, Germany
[2] Univ Vienna, Fak Math, Vienna, Austria
来源：
DUKE MATHEMATICAL JOURNAL | 2017年 / 166卷 / 09期
关键词：
ENERGY-CRITICAL WAVE; SELF-SIMILAR BLOWUP; UP SOLUTIONS; CHARACTERISTIC POINTS; DISPERSIVE EQUATIONS; RADIAL SOLUTIONS; GLOBAL DYNAMICS; GROUND-STATE; EXISTENCE; SCATTERING;
D O I：
10.1215/00127094-0000009X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish Strichartz estimates in similarity coordinates for the radial wave equation in three spatial dimensions with a (time-dependent) self-similar potential. As an application, we consider the critical wave equation and prove the asymptotic stability of the ordinary differential equations blowup profile in the energy space.
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页码：1627 / 1683
页数：57
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