On the lowest index for semi-elliptic operators to be Gevrey hypoelliptic
type: Item
instance of: scholarly article
title: On the lowest index for semi-elliptic operators to be Gevrey hypoelliptic
zbMATH Open document ID: 0637.35023
author: Takashi Ōkaji
published in: Journal of Mathematics of Kyoto University
publication date: 1985-01-01T00:00:00Z
review text: This paper deals with a class of semi-elliptic differential operators having analytic coefficients. It is well-known that these operators are Gevrey hypoelliptic in each Gevrey class \(\gamma^{(s)}\) if \(s\geq s_ 0=\max (m_ i/m_ j)\) where \(m_ i\in {\mathbb{Z}}\setminus 0\) are fixed integers. The author proves in his main theorem that the same operators are not \(\gamma^{(s)}\) hypoelliptic if \(1\leq s<s_ 0\).
Mathematics Subject Classification ID: 35H10
zbMATH DE Number: 4038322
zbMATH Keywords: semi-elliptic
zbMATH Keywords: analytic coefficients
zbMATH Keywords: Gevrey hypoelliptic
zbMATH Keywords: Gevrey class
reviewed by: Peter R. Popivanov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250521017
OpenAlex ID: W2101226093
DOI: 10.1215/KJM/1250521017
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description: scientific article; zbMATH DE number 4038322