On the wellposedness of the Cauchy problem for weakly hyperbolic equations of higher order

被引：14

作者：

D'Ancona, P

Kinoshita, T

机构：

[1] Univ Roma La Sapienza, I-00185 Rome, Italy

[2] Univ Tsukuba, Math Inst, Tsukuba, Ibaraki 3058571, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2005年 / 278卷 / 10期

关键词：

weakly hyperbolic Cauchy problem; higher order equations; Gevrey classes;

D O I：

10.1002/mana.200310299

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the wellposedness in the Gevrey classes G(8) and in C-infinity of the Cauchy problem for weakly hyperbolic equations of higher order. In this paper we shall give a new approach to the case that the characteristic roots oscillate rapidly and vanish at an infinite number of points. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：1147 / 1162

页数：16

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