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.

引用

页码：1627 / 1683

页数：57

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