Equivalent forms of Levi condition

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1999 English Publisher:Springer Science and Business Media LLCJournal:ANNALI DELL UNIVERSITA DI FERRARA, volume 45, pages 191-203 (issn: 0430-3202, eissn: 1827-1510,

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Authors: Montanari, Alessandra;

doi: 10.1007/bf02825952

Equivalent forms of Levi condition

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Abstract

Summary: We consider hyperbolic differential operators with characteristic roots of constant multiplicity and we prove the equivalence of some conditions, called Levi conditions, for the correctness of the Cauchy problem in \(C^\infty\) and in Gevrey classes.

Related Organizations

University of Ferrara
Italy

Keywords

characteristic roots of constant multiplicity, correctness in \(C^\infty\), correctness in Gevrey classes, Initial value problems for higher-order hyperbolic equations, General existence and uniqueness theorems (PDE)

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