Characterization of Wave Front Sets in Fourier-Lebesgue Spaces and Its Application

MR3099031 Keiichi KATO, Masaharu KOBAYASHI and Shingo ITO Keiichi KATO, Masaharu KOBAYASHI and Shingo ITO Characterization of Wave Front Sets in Fourier-Lebesgue Spaces and Its Application Funkcialaj Ekvacioj. Serio Internacia 56 2013 1--17 http://fe.math.kobe-u.ac.jp/FE/FullPapers/56-1/56_1.pdf http://www.ams.org/mathscinet-getitem?mr=MR3099031 In this paper, we characterize the Fourier-Lebesgue type wave front set by using the wave packet transform. We apply this to the propagation of singularities for the first order hyperbolic partial differential equations with constant coefficient. Wave front set, Fourier-Lebesgue space, Propagation of singularity. 35A18, 35B65. 56-1 2013 Characterization of Wave Front Sets in Fourier-Lebesgue Spaces and Its Application Keiichi KATO, Masaharu KOBAYASHI and Shingo ITO Keiichi KATO, Masaharu KOBAYASHI and Shingo ITO

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