Third order homogeneous weakly hyperbolic equations with nonanalytic coefficients

被引：2

作者：

Jannelli, E. ^{[1
]}

Taglialatela, G. ^{[2
]}

机构：

[1] Univ Bari, Dept Math, I-70125 Bari, Italy

[2] Univ Bari, Dept Econ & Math Methods, I-70124 Bari, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 418卷 / 02期

关键词：

Cauchy problem; Homogeneous hyperbolic equations; Symmetrizer; SYSTEMS; TIME; SYMMETRIZATION;

D O I：

10.1016/j.jmaa.2014.04.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for homogeneous linear third order weakly hyperbolic equations with time depending coefficients. We study the relation between the regularity of the coefficients and the Gevrey class in which the Cauchy problem is well-posed. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1006 / 1029

页数：24

共 17 条

[1] Well-posedness in C∞ for some weakly hyperbolic equations [J].