Well-posedness of the Cauchy problem for some degenerate hyperbolic operators

被引：0

作者：

Ascanelli, Alessia ^{[1
]}

Cicognani, Massimo ^{[2
,3
]}

机构：

[1] Univ Ferrara, Dipartmento Matemat, Via Machiavelli 35, I-44100 Ferrara, Italy

[2] Univ Bologna, Dept Math, I-40127 Bologna, Italy

[3] Fac Ingn 2, I-47023 Cesena, Italy

来源：

PSEUDO-DIFFERENTIAL OPERATORS AND RELATED TOPICS | 2006年 / 164卷

关键词：

degenerate hyperbolic equations; Cauchy problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use an uniform approach to different kinds of degenerate hyperbolic Cauchy problems to prove well-posedness in C-infinity and in Gevrey classes. We prove in particular that we can treat by the same method a weakly hyperbolic problem, satisfying an intermediate condition between effective hyperbolicity and the Levi condition, and a strictly hyperbolic problem with non-regular coefficients with respect to the time variable.

引用

页码：23 / +

页数：3

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