The radial defocusing energy-supercritical cubic nonlinear wave equation in R1+5

被引：9

作者：

Bulut, Aynur ^{[1
]}

机构：

[1] Inst Adv Study, Princeton, NJ 08540 USA

来源：

NONLINEARITY | 2014年 / 27卷 / 08期

基金：

美国国家科学基金会;

关键词：

global well-posedness; radial nonlinear wave equation; energy-supercritical; frequency localized Morawetz inequality; GLOBAL WELL-POSEDNESS; SCHRODINGER-EQUATION; BLOW-UP; SCATTERING; DIMENSIONS; NLS;

D O I：

10.1088/0951-7715/27/8/1859

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we establish a frequency localized version of the classical Morawetz inequality adapted to almost periodic solutions of the defocusing cubic nonlinear wave equation in dimension d = 5. As an application, we conclude that radial solutions to this equation that remain bounded in the critical homogeneous Sobolev space exist globally in time and scatter.

引用

页码：1859 / 1877

页数：19

共 25 条

[1]

Beckner W, 2008, P AM MATH SOC, V136, P1871

[2]

Bulut A, 2011, T AM MATH S IN PRESS

[3]

Bulut A, 2009, COMMUN PART DIFF EQ, V38, P575

[4] Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation [J].