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arXiv · 1412.7326

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

Gianluca Garello·Alessandro Morando
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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 Fr\'echet space $L^p_{\rm loc}(\Omega)$. 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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Gianluca Garello, Alessandro Morando. 2014-12-23. m-Microlocal elliptic pseudodifferential operators acting on $L^p_{\rm loc}(\Omega)$. https://arxiv.org/abs/1412.7326

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