Scattering profile for global solutions of the energy-critical wave equation

被引：14
作者：
Duyckaerts, Thomas [1 ]
Kenig, Carlos [2 ]
Merle, Frank [3 ]
机构：
[1] Univ Paris 13, LAGA, Sorbonne Paris Cite, UMR 7539, 99 Ave Jean Baptiste Clement, F-93430 Villetaneuse, France
[2] Univ Chicago, 5734 Univ Ave, Chicago, IL 60637 USA
[3] IHES, Cergy Pontoise UMR 8088, 2 Av Adolphe Chauvin, F-95302 Cergy Pontoise, France
来源：
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2019年 / 21卷 / 07期
基金：
欧洲研究理事会;
关键词：
Wave equation; critical nonlinearity; global solution; radiation term; STRICHARTZ INEQUALITIES; RADIAL SOLUTIONS; BLOW-UP; REGULARITY; ATTRACTOR;
D O I：
10.4171/JEMS/882
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the focusing energy-critical wave equation in space dimension 3, 4 or 5. We prove that any global solution which is bounded in the energy space converges in the exterior of wave cones to a radiation term which is a solution of the linear wave equation.
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页码：2117 / 2162
页数：46
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