2nd microlocalization and conical refraction
type: Item
instance of: scholarly article
title: 2nd microlocalization and conical refraction
zbMATH Open document ID: 0613.58034
author: N. Tose
published in: Proceedings of the Japan Academy. Series A
publication date: 1986-01-01T00:00:00Z
review text: The author considers a microhyperbolic microdifferential operator P with involutive critical manifold \(\Sigma\) of its principal symbol. He formulates the theorem that 2-microlocal singular spectrum \(SS^ 2_{\Sigma}(u)\) of the solution u to equation \(Pu=0\) propagates along 2- bicharacteristics. This theorem implies a standard assertion about propagation of the usual singular spectrum of the solution.
Mathematics Subject Classification ID: 58J40
Mathematics Subject Classification ID: 58J47
Mathematics Subject Classification ID: 58J15
zbMATH DE Number: 3992500
zbMATH Keywords: microhyperbolic microdifferential operator
zbMATH Keywords: 2-microlocal singular spectrum
zbMATH Keywords: 2-bicharacteristics
MaRDI profile type: Publication
full work available at URL: pjaa.62.243
OpenAlex ID: W2061003486
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DOI: 10.3792/PJAA.62.243
description: scientific article; zbMATH DE number 3992500