On Blowup in Supercritical Wave Equations

被引：0
作者：
Roland Donninger
Birgit Schörkhuber
机构：
[1] Rheinische Friedrich-Wilhelms-Universität Bonn,Mathematisches Institut
[2] Universität Wien,Fakultät für Mathematik
来源：
Communications in Mathematical Physics | 2016年 / 346卷
关键词：
Wave Equation; Nonlinear Wave Equation; Blowup Solution; Blowup Time; Supercritical Wave Equation;
D O I：
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学科分类号：
摘要：
We study the blowup behavior for the focusing energy-supercritical semilinear wave equation in 3 space dimensions without symmetry assumptions on the data. We prove the stability in H2×H1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${H^2\times H^1}$$\end{document} of the ODE blowup profile.
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页码：907 / 943
页数：36
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