The propagation of singularities for pseudo-differential operators with self-tangential characteristics
type: Item
instance of: scholarly article
title: The propagation of singularities for pseudo-differential operators with self-tangential characteristics
zbMATH Open document ID: 0699.35272
DOI: 10.1007/BF02386360
published in: Arkiv för Matematik
publication date: 1989-01-01T00:00:00Z
review text: This paper is devoted to the analysis of the propagation of singularities of pseudo-differential operators with characteristics of variable multiplicity. The author assumes that the characteristic set is a union of hypersurfaces tangent of exactly order \(k_ 0\geq 1\) along an involutive submanifold of codimension \(d_ 0\geq 2\). Under a suitable generalized Levi condition the author proves that the wave front set of the solutions is propagating along the union of the Hamiltonian fields of the characteristic surfaces. Some interesting applications concerning the wave operator for uniaxial crystals are given.
Mathematics Subject Classification ID: 35S05
zbMATH DE Number: 4146744
zbMATH Keywords: propagation of singularities
zbMATH Keywords: pseudo-differential operators
zbMATH Keywords: variable multiplicity
zbMATH Keywords: generalized Levi condition
zbMATH Keywords: wave front
zbMATH Keywords: wave operator for uniaxial crystals
author: Niels Dencker
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4146744