Semiclassical hypoelliptic estimates with a loss of many derivatives
Alberto ParmeggianiUniversità di Bologna, Italy
Karel Pravda-StarovUniversité 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.
Cite this article
Alberto Parmeggiani, Karel Pravda-Starov, Semiclassical hypoelliptic estimates with a loss of many derivatives. Rev. Mat. Iberoam. 30 (2014), no. 4, pp. 1439–1478DOI 10.4171/RMI/821