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On pseudoelliptic systems of first order differential equations

Published online by Cambridge University Press:  22 January 2016

Kazushige Ueno
Kazushige Ueno*
Affiliation:
Istituto di Matematica Università dell’Aquila, Via Roma 33 67100 L’Aquila, Italia
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In the study of elliptic differential operators of second order, we found that the automorphism pseudogroups are of finite type ([4]). However this fact takes a complete change in elliptic differential operators of first order.

So as to make the objects which can be dealt with clear, we introduce the concept of pseudoellipticity of first order differential operators (Definition 1.1), which is naturally satisfied by first order elliptic differential operators.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 108 , December 1987 , pp. 15 - 51
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1987

References

[ 1 ] Chevalley, C., Theory of Lie groups I, Princeton University Press, 1946.Google Scholar
[ 2 ] Singer, I. M. and Sternberg, S., The infinite groups of Lie and Cartan, J. Analyse Math., 15 (1965), 1–114.Google Scholar
[ 3 ] Ueno, K., Existence and equivalence theorems of automorphic systems, Publ. RIMS, Kyoto Univ., 11 (1976), 461–482.Google Scholar
[ 4 ] Ueno, K., Projective structures of elliptic differential operators, Nagoya Math. J., 99 (1985),111–130.Google Scholar