m-Microlocal elliptic pseudodifferential operators acting on L^p_{\rm loc}(Ω)

2014/12/23 by Gianluca Garello, Garello, Gianluca, Alessandro Morando +1
Mathematics · #35S05 #46E35 #47G30 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35S05 #msc:46E35 #msc:47G30

paper · pdf · doi:10.48550/arxiv.1412.7326

19 pages

arxiv created 2014/12/23 · arxiv updated 2014/12/24

Abstract

In the first part of the paper the authors study the minimal and maximal extension of a class of weighted pseudodifferential operators in the Fréchet space L^p_{\rm loc}(Ω). In the second one non homogeneous microlocal properties are introduced and propagation of Sobolev singularities for solutions to (pseudo)differential equations is given. For both the arguments actual examples are provided.

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