Formes normales semi-classiques des systemes completement integrables au voisinage d'un point critique de l'application moment

Simple item page
dc.creatorSan, Vu Ngoc
dc.date1998-03-09
dc.date.accessioned2026-07-07T05:24:01Z
dc.date.available2026-07-07T05:24:01Z
dc.descriptionThe semi-classical study of a 1-dimensional Schrödinger operator near a non-degenerate maximum of the potential has lead Colin de Verdière and Parisse to prove a microlocal normal form theorem for any 1-dimensional pseudo-differential operator with the same kind of singularity. We present here a generalization of this result to pseudo-differential integrable systems of any finite degree of freedom with a Morse singularity. Our results are based upon Eliasson's study of critical integrable systems.
dc.description1 figure, 28 pages, in french uses isolatin1.sty
dc.identifierhttps://arxiv.org/abs/math/9803027
dc.identifierhttp://arxiv.org/abs/math/9803027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76677
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.subject58F05, 57R70, 58G15, 58F36, 34C20, 81Q20, 81S05
dc.titleFormes normales semi-classiques des systemes completement integrables au voisinage d'un point critique de l'application moment
dc.typetext

Files

Collections

arXiv