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

被引：16

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.

引用

页码：2117 / 2162

页数：46

共 29 条

[1]

Alinhac S, 2009, UNIVERSITEXT, pIX

[2]

[Anonymous], 1994, Int. Math. Res. Not. IMRN

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