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Equivalent forms of Levi condition

Equivalent forms of Levi condition In this paper 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 inC∞ and in Gevrey classes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ANNALI DELL UNIVERSITA DI FERRARA Springer Journals

Equivalent forms of Levi condition

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References (8)

Publisher
Springer Journals
Copyright
Copyright © Università degli Studi di Ferrara 1999
ISSN
0430-3202
eISSN
1827-1510
DOI
10.1007/bf02825952
Publisher site
See Article on Publisher Site

Abstract

In this paper 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 inC∞ and in Gevrey classes.

Journal

ANNALI DELL UNIVERSITA DI FERRARA – Springer Journals

Published: Jan 1, 1999

Keywords: Cauchy Problem; Differential Operator; Phase Function; Equivalent Form; Principal Part

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