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A Construction of asymptotic solutions and the existence of smooth null-solutions for a class of non-Fuchsian partial differential operators

Published online by Cambridge University Press:  22 January 2016

Takeshi Mandai
Takeshi Mandai*
Affiliation:
Department of Mathematics, Faculty of General Education Gifu University, Yanagido 1-1, Gifu 501-11, Japan E-mail address: mandai@cc.gifu-u.ac.jp
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Consider a partial differential operator

(1.1)

where K is a non-negative integer and aj,a are real-analytic in a neighborhood of (0, 0)

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 145 , March 1997 , pp. 125 - 142
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

References

[ 1 ] Baouendi, M. S. and Goulaouic, C., Cauchy problems with characteristic initial hypersurface, Comm. Pure Appl. Math. 26 (1973), 455–475.CrossRefGoogle Scholar
[ 2 ] Baouendi, M. S. and Goulaouic, C., Cauchy problems with multiple characteristics in spaces of regular distributions, Russian Math. Surveys 29 (1974), 72–78.CrossRefGoogle Scholar
[ 3 ] Mandai, T., Characteristic Cauchy problems for some non-Fuchsian partial differential operators, J. Math. Soc. Japan 45 (1993), 511 – 545.CrossRefGoogle Scholar
[ 4 ] Mandai, T., Distribution null-solutions for a class of non-Fuchsian partial differential operators, in preparation.Google Scholar