2013/09/17 by Marco Cappiello, Cappiello, Marco, René Schulz +1
Engineering · Mathematics · Physics and Astronomy · #35A18 #35A22 #35A27 #46F05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Nonlinear Waves and Solitons #Stability and Controllability of Differential Equations #math.AP #msc:35A18 #msc:35A22 #msc:35A27 #msc:46F05
paper · pdf · doi:10.48550/arxiv.1309.4236
26 pages
arxiv created 2013/09/17 · openalex publication_date 2013/09/17 · arxiv updated 2013/09/18 · openalex created_date 2022/08/12 · openalex updated_date 2026/07/28
We introduce a global wave front set suitable for the analysis of tempered ultradistributions of quasianalytic Gelfand-Shilov type. We study the transformation properties of the wave front set and use them to give microlocal existence results for pull-backs and products. We further study quasianalytic microlocality for classes of localization and ultradifferential operators, and prove microellipticity for differential operators with polynomial coefficients.