Propagation du front d'onde \(C^ p\) pour des équations non linéaires
type: Item
instance of: scholarly article
title: Propagation du front d'onde \(C^ p\) pour des équations non linéaires
zbMATH Open document ID: 0616.35053
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1988-01-01T00:00:00Z
review text: We show propagation results of the \(C^ p\) wave front for a class of paradifferential operators. More precisely, we prove that for ''parafields'' in \({\mathbb{R}}^ n\) (n arbitrary), the \(C^ p\) wave front propagates along the operator's bicharacteristics and can be characterized by the wave front of the trace on a transversal hypersurface. We also prove analogous results for paradifferential operators of order \(m\geq 1\) in the plane \((n=2).\) Using Bony's theory, these results can be applied to non linear partial differential equations.
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 35L75
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 3998354
zbMATH Keywords: propagation
zbMATH Keywords: wave front
zbMATH Keywords: paradifferential operators
zbMATH Keywords: bicharacteristics
zbMATH Keywords: transversal hypersurface
author: Hajer Bahouri
author: Belhassen Dehman
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3998354