SCATTERING FOR DEFOCUSING ENERGY SUBCRITICAL NONLINEAR WAVE EQUATIONS

被引：8

作者：

Dodson, Benjamin ^{[1
]}

Lawrie, Andrew ^{[2
]}

Mendelson, Dana ^{[3
]}

Murphy, Jason ^{[4
]}

机构：

[1] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

[2] MIT, Dept Math, Cambridge, MA 02139 USA

[3] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[4] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

来源：

ANALYSIS & PDE | 2020年 / 13卷 / 07期

关键词：

nonlinear waves; scattering; GLOBAL WELL-POSEDNESS; BLOW-UP RATE; SCHRODINGER-EQUATION; RADIAL SOLUTIONS; DIMENSIONS; REGULARITY; NLS;

D O I：

10.2140/apde.2020.13.1995

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for the defocusing power-type nonlinear wave equation in (1+3)-dimensions for energy subcritical powers p in the superconformal range 3 < p < 5. We prove that any solution is global-in-time and scatters to free waves in both time directions as long as its critical Sobolev norm stays bounded on the maximal interval of existence.

引用

页码：1995 / 2090

页数：96

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