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. In the case of the first author, the research that led to the present paper was partially supported by a grant of the group GNAMPA of INdAM.
Alberto Parmeggiani, Karel Pravda-Starov (2014). Semiclassical hypoelliptic estimates with a loss of many derivatives. REVISTA MATEMATICA IBEROAMERICANA, 30(4), 1439-1478 [10.4171/rmi/821].
Semiclassical hypoelliptic estimates with a loss of many derivatives
PARMEGGIANI, ALBERTO;
2014
Abstract
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. In the case of the first author, the research that led to the present paper was partially supported by a grant of the group GNAMPA of INdAM.File in questo prodotto:
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