ON THE HYPOELLIPTICITY WITH A BIG LOSS OF DERIVATIVES

Cesare PARENTI; Alberto PARMEGGIANI

doi:10.2206/kyushujm.59.155

Kyushu Journal of Mathematics

Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116

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ON THE HYPOELLIPTICITY WITH A BIG LOSS OF DERIVATIVES

Cesare PARENTI, Alberto PARMEGGIANI

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Keywords: hypoellipticity with loss of derivatives, transversal ellipticity, parametrix

JOURNAL FREE ACCESS

2005 Volume 59 Issue 1 Pages 155-230

DOI https://doi.org/10.2206/kyushujm.59.155

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Abstract

We study, for a model class of classical pseudodifferential operators with symplectic characteristics of multiplicity k, necessary and sufficient conditions for the hypoellipticity with loss of r + k/2 derivatives (r > 0).

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