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.
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页码：139 / 174
页数：36
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