On the well-posedness of the cauchy problem and the mixed problem for some class of hyperbolic systems and equations with constant coefficients and characteristics of variable multiplicity

被引：0

作者：

Zakharchenko, P. A. ^{[1
]}

Radkevich, E. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

Cauchy Problem; Homogeneous Polynomial; Multiple Root; Connectedness Condition; Extreme Polynomial;

D O I：

10.1134/S0012266108060074

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the well-posedness of the mixed problem for hyperbolic equations with constant coefficients and with characteristics of variable multiplicity. We single out a class of higher-order hyperbolic operators with constant coefficients and with characteristics of variable multiplicity, for which we obtain a generalization of the Sakamoto conditions for the well-posedness of the mixed problem in L(2).

引用

页码：817 / 834

页数：18

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