Cauchy problem conditions for hyperbolic operators with characteristics of variable multiplicity for Gevrey classes

Cauchy problem conditions for hyperbolic operators with characteristics of variable multiplicity for Gevrey classes
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Gevrey类具有变量重数特征的双曲算子的柯西问题条件

DOI:
10.1007/bf00968018
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发表时间:
1976
影响因子:
0.5
通讯作者:
V. Ivrii
V. Ivrii
中科院分区:
数学4区
文献类型:
--
作者:
V. Ivrii

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在本文中,我们获得了一些必要的条件,以便使具有变量重数特征根的双曲算子的非特征柯西问题在归纳和射影 Gevrey 类中正确。具有常重数特征根的算子的条件在[1-3]中获得。
In this paper we obtain some conditions necessary in order that the noncharacteristic Cauchy problem for hyperbolic operators with characteristic roots of variable multiplicity be correct in inductive and projective Gevrey classes; conditions for operators with characteristic roots of constant multiplicity were obtained in [1-3].