Inhomogeneous microlocal propagation of singularities in Fourier Lebesgue spaces

2016/07/22 by Gianluca Garello, Garello, Gianluca, Alessandro Morando +1
Mathematics · #35S05 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.06728

openalex publication_date 2016/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some results of microlocal continuity for pseudodifferential operators whose non regular symbols belong to weighted Fourier Lebesgue spaces are given. Inhomogeneous local and microlocal propagation of singularities of Fourier Lebesgue type are then studied, with applications to some classes of semilinear equations.

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