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

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.
2014
Alberto Parmeggiani; Karel Pravda-Starov
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/401956
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