Second order weakly hyperbolic operators with coefficients sum of powers of functions

被引：0

作者：

Colombini, Ferruccio

Nishitani, Tatsuo

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

[2] Osaka Univ, Dept Math, Toyonaka, Osaka 5600043, Japan

来源：

OSAKA JOURNAL OF MATHEMATICS | 2007年 / 44卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Cauchy problem for the operator D-t(2) - D(x)a(t, x)D-x in the Gevrey classes. We show that if the coefficient a(t, x) is given by a finite sum of non negative functions then the Cauchy problem is well posed in the wider Gevrey class for the larger powers. We also give an example showing that the order of the Gevrey class obtained here is optimal.

引用

页码：121 / 137

页数：17

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