Remarks on weaker null conditions for two kinds of systems of semilinear wave equations in three space dimensions

被引：0

作者：

Cheng, Minggang ^{[1
]}

Katayama, Soichiro ^{[1
]}

机构：

[1] Osaka Univ, Dept Math, Grad Sch Sci, 1-1 Machikaneyama, Toyonaka, Osaka 5600043, Japan

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2024年 / 53卷 / 01期

关键词：

Semilinear wave equation; Klein-Gordon equation; multiple propagation speeds; null condition; weak null condition; global existence; KLEIN-GORDON EQUATIONS; GLOBAL EXISTENCE; NONLINEAR-WAVE; HYPERBOLIC SYSTEMS; ENERGY DECAY;

D O I：

10.14492/hokmj/2022-637

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Cauchy problems for systems of nonlinear wave and Klein -Gordon equations, or for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions. Global existence of solutions under the so-called null condition is already known for these systems. Our aim here is to obtain the global existence for these systems with some kinds of nonlinearities violating the null condition.

引用

页码：139 / 174

页数：36

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