Hypoellipticity of a certain operator with double characteristic
type: Item
instance of: scholarly article
title: Hypoellipticity of a certain operator with double characteristic
zbMATH Open document ID: 1031.35503
author: Tatsushi Morioka
published in: Tsukuba Journal of Mathematics
publication date: 2002-07-25T00:00:00Z
review text: This paper concerns differential operators of the type \[ L= D^2_1+ f(x_1) D^2_2+ g(x_1) D^2_3+ (g(x_1)- 1)D_4 \] in \(\mathbb{R}^4\). The functions \(f\) and \(g\) are supposed to be \(C^\infty\) on an interval \(I\), and necessary and sufficient are states for \(L\) to be hypoelliptic on \(I\times \mathbb{R}^3\).
Mathematics Subject Classification ID: 35H10
zbMATH DE Number: 1772006
zbMATH Keywords: necessary and sufficient condition
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496163378
OpenAlex ID: W637245874
DOI: 10.21099/TKBJM/1496163378
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description: scientific article; zbMATH DE number 1772006