Bulletin de la Société Royale des Sciences de Liège

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Leonhard FRERICK & Jochen WENGENROTH

PARTIAL DIFFERENTIAL OPERATORS MODULO SMOOTH FUNCTIONS

(Volume 73 - Année 2004 — Numéro 2 - 3)
Article
Open Access
Mots-clés : partial differential operators, smooth functions

Abstract

For a constant coefficient linear partial differential operator on we provide new characterizations when is surjective and when it bas a continuous linear right inverse.  Both results are in the spirit of a celebrated result of Meise, Taylor, and Vogt who characterized right invertibility of on by properties of fundamental solutions.

To cite this article

Leonhard FRERICK & Jochen WENGENROTH, «PARTIAL DIFFERENTIAL OPERATORS MODULO SMOOTH FUNCTIONS», Bulletin de la Société Royale des Sciences de Liège [En ligne], Volume 73 - Année 2004, Numéro 2 - 3, 119 - 127 URL : http://popups.ulg.be/0037-9565/index.php?id=772.

About: Leonhard FRERICK

FB C - Mathematik, Bergische Universität Wuppertal, Gausstr. 20, D 42097 Wuppertal, Germany, frerick@math.uni-wuppertal.de

About: Jochen WENGENROTH

FB IV - Mathematik, Universität Trier, D - 54286 Trier, Germany, wengen@uni-trier.de