SPACETIME INTEGRAL BOUNDS FOR THE ENERGY-CRITICAL NONLINEAR WAVE EQUATION

被引：0
|
作者：
Dodson, Benjamin [1 ]
机构：
[1] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 03期
关键词：
GROUND-STATE; SCATTERING; REGULARITY; PROOF;
D O I：
10.1090/proc/16641
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove a global spacetime bound for the quintic, nonlinear wave equation in three dimensions. This bound depends on the L infinity tL2x and L infinity tH2 norms of the solution to the quintic problem. The main motivation for this paper is the use of an interaction Morawetz estimate for the nonlinear wave equation.
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页码：1169 / 1180
页数：12
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