Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions

被引：0
作者：
Camliyurt, Guher [1 ,2 ]
Kenig, Carlos E. [1 ]
机构：
[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA
[2] Virginia Polytech Inst & State Univ, Blacksburg, VA 24061 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 236卷
基金：
美国国家科学基金会;
关键词：
Scattering for radial solutions; Wave equations; Odd dimensions; GLOBAL WELL-POSEDNESS; NONLINEAR SCHRODINGER-EQUATION; ENERGY-CRITICAL WAVE; CRITICAL SOBOLEV NORM; BLOW-UP; STRICHARTZ INEQUALITIES; REGULARITY; STABILITY; PROFILES; EXTERIOR;
D O I：
10.1016/j.na.2023.113352
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the wave equation with an energy-supercritical focusing nonlinearity in general odd dimensions. We prove that any radial solution that remains bounded in the critical Sobolev space is global and scatters to a linear solution.(c) 2023 Elsevier Ltd. All rights reserved.
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页数：76
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