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.
Semiclassical hypoelliptic estimates with a loss of many derivatives / Alberto Parmeggiani; Karel Pravda-Starov. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - STAMPA. - 30:4(2014), pp. 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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