On blowup of co-rotational wave maps in odd space dimensions

被引：8

作者：

Chatzikaleas, Athanasios ^{[1
]}

Donninger, Roland ^{[1
,2
]}

Glogic, Irfan ^{[3
]}

机构：

[1] Rhein Friedrich Wilhelms Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

[2] Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

[3] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43220 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 08期

关键词：

SELF-SIMILAR BLOWUP; LARGE ENERGY SOLUTIONS; GLOBAL REGULARITY; CAUCHY-PROBLEM; HARMONIC MAPS; UP DYNAMICS; SINGULARITIES; SCATTERING; EQUATIONS;

D O I：

10.1016/j.jde.2017.06.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider co-rotational wave maps from the (1 + d)-dimensional Minkowski space into the d-sphere for d >= 3 odd. This is an energy-supercritical model which is known to exhibit finite-time blowup via self-similar solutions. Based on a method developed by the second author and Schorkhuber, we prove the asymptotic nonlinear stability of the "ground-state" self-similar solution. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：5090 / 5119

页数：30

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