Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case

被引：77

作者：

Duyckaerts, Thomas ^{[1
]}

Kenig, Carlos ^{[2
]}

Merle, Frank ^{[3
]}

机构：

[1] Univ Paris 13, Inst Galilee, Dept Math, F-93430 Villetaneuse, France

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[3] Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2012年 / 14卷 / 05期

关键词：

(1+2)-DIMENSIONAL MINKOWSKI SPACE; NONLINEAR SCHRODINGER-EQUATION; GLOBAL WELL-POSEDNESS; SCATTERING; STABILITY; EXISTENCE; MAPS;

D O I：

10.4171/JEMS/336

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Following our previous paper in the radial case, we consider type II blow-up solutions to the energy-critical focusing wave equation. Let W be the unique radial positive stationary solution of the equation. Up to the symmetries of the equation, under an appropriate smallness assumption, any type II blow-up solution is asymptotically a regular solution plus a rescaled Lorentz transform of W concentrating at the origin.

引用

页码：1389 / 1454

页数：66

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