The geometric optics for a class of hyperbolic second order operators with Hölder continuous coefficients with respect to time
Massimo Cicognani (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Massimo Cicognani (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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H. Komatsu (1980-1981)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Reissig, Michael (1997)
Abstract and Applied Analysis
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Piero d'Ancona, Mariagrazia Di Flaviano (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Nishitani, Tatsuo (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35L15, Secondary 35L30. In this paper we prove that for non effectively hyperbolic operators with smooth double characteristics with the Hamilton map exhibiting a Jordan block of size 4 on the double characteristic manifold the Cauchy problem is well posed in the Gevrey 6 class if the strict Ivrii-Petkov-Hörmander condition is satisfied.
N. Iwasaki (1985-1986)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Daniela Calvo (2006)
Bollettino dell'Unione Matematica Italiana
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We prove the well-posedness of the Cauchy Problem for first order weakly hyperbolic systems in the multi-anisotropic Gevrey classes, that generalize the standard Gevrey spaces. The result is obtained under the following hypotheses: the principal part is weakly hyperbolic with constant coefficients, the lower order terms satisfy some Levi-type conditions; and lastly the coefficients of the lower order terms belong to a suitable anisotropic Gevrey class. In the proof it is used the quasi-symmetrization...
Nicola Orrù (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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