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Remark on the Tricomi Equation

Published online by Cambridge University Press:  22 January 2016

Tadato Matsuzawa
Tadato Matsuzawa*
Affiliation:
Nagoya University
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As an application of the Garleman-type estimation Hörmander [4], p. 221, has proved the following:

A solution (distribution) of the Tricomi equation

in an open set Ω in belongs to C∞(Ω) if it is in C∞(Ω-) where .

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 48 , December 1972 , pp. 91 - 97
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972

References

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[5] Matsuzawa, T., Sur les équations utt+tαuxx= f (α≧0) . Nagoya Math. J. Vol. 42, (1971).Google Scholar
[6] Matsuzawa, T., Sur les équations quasi-elliptiques et les classes de Gevrey. Bull. Soc. Math. France, t96, 243–263 (1968).Google Scholar