Hypoellipticity of systems of pseudo differential operators with double characteristics
type: Item
instance of: scholarly article
title: Hypoellipticity of systems of pseudo differential operators with double characteristics
zbMATH Open document ID: 0702.35062
published in: Tsukuba Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The author considers the hypoellipticity of a system of pseudo- differential operators on \(\Omega\), an open subset of \({\mathbb{R}}^ N\), of the form \[ P(x,D)=I_ dp(x,D)+Q(x,D), \] where \(I_ d\) is the identity \(d\times d\) matrix, p(x,D) a scalar pseudodifferential operator of degree m, and Q(x,D) a \(d\times d\) system of pseudodifferential operator of degree at most m-1. He obtains sufficient conditions for p(x,D) to be hypoelliptic, which extend the results of the author [Commun. Partial Differ. Equations 10, 525-542 (1985; Zbl 0577.35025)] to the vector situation with no restriction on codimension of \(\Sigma\).
reviewed by: Wang Chuanfang
Mathematics Subject Classification ID: 35H10
Mathematics Subject Classification ID: 35S05
zbMATH DE Number: 4150801
zbMATH Keywords: homogeneity
zbMATH Keywords: hypoellipticity
zbMATH Keywords: system of pseudo-differential operators
author: K. H. Kwon
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496161166
OpenAlex ID: W288015055
DOI: 10.21099/TKBJM/1496161166
description: scientific article; zbMATH DE number 4150801