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.

引用

页码：1169 / 1180

页数：12

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