Conditions de Levi pour le problème de Cauchy pour une classe d'équations hyperboliques à caractéristique triples
Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity
We study a class of third order hyperbolic operators in with triple characteristics on . We consider the case when the fundamental matrix of the principal symbol for has a couple of non vanishing real eigenvalues and is strictly hyperbolic for We prove that is strongly hyperbolic, that is the Cauchy problem for is well posed in for any lower order terms .
On an ODE Relevant for the General Theory of the Hyperbolic Cauchy Problem
2000 Mathematics Subject Classification: 34E20, 35L80, 35L15. In this paper we study an ODE in the complex plane. This is a key step in the search of new necessary conditions for the well posedness of the Cauchy Problem for hyperbolic operators with double characteristics.
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