Wave front sets with respect to the iterates of an operator with constant coefficients
type: Item
instance of: scholarly article
title: Wave front sets with respect to the iterates of an operator with constant coefficients
zbMATH Open document ID: 1472.47035
DOI: 10.1155/2014/438716
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We introduce the wave front set \(\text{WF}_*^P(u)\) with respect to the iterates of a hypoelliptic linear partial differential operator with constant coefficients of a classical distribution \(u \in \mathcal{D}'(\Omega)\) in an open set \(\Omega\) in the setting of ultradifferentiable classes of \textit{R. W. Braun} et al. [Result. Math. 17, No. 3--4, 206--237 (1990; Zbl 0735.46022)]. We state a version of the microlocal regularity theorem of Hörmander for this new type of wave front set and give some examples and applications of the former result.
Mathematics Subject Classification ID: 47F10
Mathematics Subject Classification ID: 35H10
Mathematics Subject Classification ID: 46F05
zbMATH DE Number: 7022396
zbMATH Keywords: hypoelliptic linear partial differential operator
zbMATH Keywords: microlocal regularity theorem
zbMATH Keywords: wave front set
Wikidata QID: Q59038272
author: Chiara Boiti
author: David Jornet
author: Jordi Juan-Huguet
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/438716
OpenAlex ID: W1987198955
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description: scientific article; zbMATH DE number 7022396