Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultraditributions
Analysis of PDEs
2014-06-17 v2
Abstract
We construct parametrices for a class of pseudodifferential operators of infinite order acting on spaces of tempered ultradistributions of Beurling and Roumieu type. As a consequence we obtain a result of hypoellipticity in these spaces.
Keywords
Cite
@article{arxiv.1405.1942,
title = {Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultraditributions},
author = {Marco Cappiello and Stevan Pilipovic and Bojan Prangoski},
journal= {arXiv preprint arXiv:1405.1942},
year = {2014}
}
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16 pages