Open Access
VOL. 64 | 2015 Wave front set defined by wave packet transform and its application
Keiichi Kato, Masaharu Kobayashi, Shingo Ito

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Adv. Stud. Pure Math., 2015: 417-425 (2015) DOI: 10.2969/aspm/06410417

Abstract

We introduce the wave front set $WF_s^{p,q}$ by using the wave packet transform. This is another characterization of the Fourier–Lebesgue type wave front set $WF_{\mathcal{F}L_s^q}$. We apply this to the propagation of singularities for the wave equation.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1342.35016
MathSciNet: MR3381308

Digital Object Identifier: 10.2969/aspm/06410417

Subjects:
Primary: 35A18 , 35B65

Keywords: propagation of singularity , wave front set , wave packet transfrom

Rights: Copyright © 2015 Mathematical Society of Japan

PROCEEDINGS ARTICLE
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