Low regularity ill-posedness for non-strictly hyperbolic systems in three dimensions

被引：8

作者：

An, Xinliang ^{[1
]}

Chen, Haoyang ^{[1
]}

Yin, Silu ^{[2
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore, Singapore

[2] Hangzhou Normal Univ, Dept Math, Hangzhou, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 05期

关键词：

GLOBAL EXISTENCE; LOCAL EXISTENCE; WAVE-EQUATIONS; SHARP COUNTEREXAMPLE; SINGULARITIES; BLOWUP;

D O I：

10.1063/5.0089521

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we survey a new approach combining algebraic and geometric ideas, with which we prove low regularity ill-posedness for quasilinear hyperbolic systems with non-strict hyperbolicity in three dimensions. These systems are also associated with multiple wave-speeds. Published under an exclusive license by AIP Publishing

引用

页数：16

共 40 条

[1] Global existence of nonlinear elastic waves [J].