Revista Matemática Iberoamericana
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Published online: 2014-12-15
Semiclassical hypoelliptic estimates with a loss of many derivativesAlberto Parmeggiani and Karel Pravda-Starov (1) Università di Bologna, Italy
(2) Université de Rennes I, France
We study the pseudospectral properties of general pseudodifferential operators around a doubly characteristic point and provide necessary and sufficient conditions for semiclassical hypoelliptic a priori estimates with a loss of many derivatives.
Keywords: Resolvent estimates, doubly characteristic pseudodifferential operators, hypoellipticity with a loss of many derivatives, Grushin-reduction method
Parmeggiani Alberto, Pravda-Starov Karel: Semiclassical hypoelliptic estimates with a loss of many derivatives. Rev. Mat. Iberoamericana 30 (2014), 1439-1478. doi: 10.4171/RMI/821