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Sur Les Equations utt + tαuxx = f (α ≧ 0)

Published online by Cambridge University Press:  22 January 2016

Tadato Matsuzawa
Tadato Matsuzawa*
Affiliation:
Mathematical Institute, Nagoya University, Nagoya, Japan
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Le but principal de cette note est de démontrer les Théorème 4.2 et 6.1. Pour l’effectuer nous utiliserons la méthode de développement par les fonctions propres cf. [6]. Nous ne utilisons pas la méthode de la régularisation elliptique, mais les résultats de Baouendi [1] sont essentiels.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 42 , March 1971 , pp. 43 - 55
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1971

References

Bibliographie

[1] Baouendi, (Salah, Mohamed) -Sur une classe d’opérateurs elliptiques dégénérés, Bull. Soc. Math. France, 95, 1967, 45–87.Google Scholar
[2] Hörmander, (Lars)-Linear partial differential operators,-Berlin, Springer-Verlag, 1963 (Grundlehren, 116).Google Scholar
[3] Hörmander, (Lars)-Hypoelliptic second order differential equations, Acta Math. 119, 1968, 147–171.Google Scholar
[4] Ka to (Yoshio)-On a class of hypoelliptic differential operators, (à paraître).Google Scholar
[5] Matsuzawa, (Tadato)-Sur les équations quasi elliptiques et les classes de Gevrey, Bull. Soc. Math. France, 96, 1968, 243–263.Google Scholar
[6] Matsuzawa, (Tadato)-Sur les équations (à paraître).Google Scholar
[7] Petrovsky, (I.-G.)-Lectures on partial differential equations,-New York, London, Interscience Publishers, 19541Google Scholar