On hypoellipticity and solvability of linear partial differential operators with multiple characteristics
type: Item
instance of: scholarly article
title: On hypoellipticity and solvability of linear partial differential operators with multiple characteristics
zbMATH Open document ID: 0798.35035
DOI: 10.1016/0019-3577(93)90042-W
author: V. Pereyra
published in: Indagationes Mathematicae. New Series
publication date: 1993-12-06T00:00:00Z
review text: This paper is devoted to the problem of constructing a ``characteristic manifold'' that takes into account lower order terms and at the same time describes the hypoellipticity or the local solvability of the operator in the same way as the classical characteristic does (for elliptic or principal type operators). This strategy is applied to some examples of operators with multiple characteristics.
Mathematics Subject Classification ID: 35H10
zbMATH DE Number: 469234
zbMATH Keywords: multiple characteristics
reviewed by: Bernard Helffer
MaRDI profile type: Publication
cites work: Q3671564
cites work: Q3671563
cites work: On the second subprincipal symbol of a pseudodifferential operator
cites work: On invariants of differential operators with multiple characteristics
cites work: On local solvability of linear partial differential operators with multiple characteristics
cites work: On local solvability of linear partial differential equations part I: Necessary conditions
cites work: SUBELLIPTIC OPERATORS
cites work: A necessary condition of local solvability for pseudo-differential equations with double characteristics
description: scientific article; zbMATH DE number 469234