Propagation of Gevrey singularities for equations of principal type satisfying condition (P)
type: Item
instance of: scholarly article
title: Propagation of Gevrey singularities for equations of principal type satisfying condition (P)
zbMATH Open document ID: 1028.35007
author: N. Lerner
author: Bernard Lascar
published in: Osaka Journal of Mathematics
publication date: 2004-01-26T00:00:00Z
review text: The authors investigate the propagation of singularities in Gevrey class for the first-order operator \(P= D_t+ iF(t,x,D)\) of principal type satisfying the condition \((P)\). They prove that if the coefficients of equations belong to the Gevrey class of index \(s'\), and \(\gamma(\partial I)\cap WF_s(u)= \emptyset\) and \(\gamma(I)\cap WF_s(Pu)=\emptyset\) hold, then \(\gamma(I)\cap WF_s(u)= \emptyset\) for \(s'\geq 2\) and \(s\geq s'+ 2\), where \(\gamma\) is the Hamilton flow associated to \(F\) and \(I\) is an interval.
Mathematics Subject Classification ID: 35A21
Mathematics Subject Classification ID: 35A18
zbMATH DE Number: 1836035
zbMATH Keywords: Gevrey class
reviewed by: Kunihiko Kajitani
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1836035