Semi-linear Cauchy problem with conormal initial data: Regularity at an edge and principal symbol
type: Item
instance of: scholarly article
title: Semi-linear Cauchy problem with conormal initial data: Regularity at an edge and principal symbol
zbMATH Open document ID: 0848.35072
author: Alain Piriou
author: Jean Pierre Varenne
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1996-07-16T00:00:00Z
review text: We consider the semilinear Cauchy problem for a first-order strictly hyperbolic system with any size, any number of variables and (sufficiently regular) conormal initial data with respect to an hypersurface. We precise the conormal structure of the solution and we prove, thanks to a suitable paradifferential calculus, that the principal symbol of the solution coincides, outside the wedge, with the solution of the standard transport equation corresponding formally to the linearized problem.
Mathematics Subject Classification ID: 35L45
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 35L75
zbMATH DE Number: 891053
zbMATH Keywords: conormal distribution
zbMATH Keywords: paradifferential calculus
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 891053