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Hypoelliptic Overdetermined Systems with Variable Coefficients

Published online by Cambridge University Press:  22 January 2016

Yoshiaki Hashimoto
Yoshiaki Hashimoto*
Affiliation:
Nagoya University
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Let

(1) p(x,D)u = f

be a system of partial difierential equations. We shall say that p (x,D) is hypoelliptic if the distribution solution u is in C∞ wherever f∈C∞ (cf. section 2, Definition 5.)

Here we shall give a sufficient condition for the hypoellipticity of overdetermined systems with variable coefficients.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 41 , February 1971 , pp. 7 - 17
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1971

References

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