Stable blowup for wave equations in odd space dimensions

被引：22

作者：

Donninger, Roland ^{[1
,2
]}

Sehoerkhuber, Birgit ^{[2
]}

机构：

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

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

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2017年 / 34卷 / 05期

基金：

奥地利科学基金会;

关键词：

Nonlinear wave equations; Blowup; Stability; SELF-SIMILAR SOLUTIONS; CHARACTERISTIC POINTS; UP SOLUTIONS; RADIAL SOLUTIONS; EXISTENCE; CLASSIFICATION; REGULARITY; PROFILE;

D O I：

10.1016/j.anihpc.2016.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider semilinear wave equations with focusing power nonlinearities in odd space dimensions d >= 5. We prove that for every p > d+3/d-1 there exists an open set of radial initial data in Hd+1/2 x Hd-1/2 such that the corresponding solution exists in a backward lightcone and approaches the ODE blowup profile. The result covers the entire range of energy supercritical nonlinearities and extends our previous work for the three-dimensional radial wave equation to higher space dimensions. (C) 2016 Elsevier Masson SAS. All rights reserved.

引用

页码：1181 / 1213

页数：33

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