English

Semiclassical hypoelliptic estimates with a big loss of derivatives

Analysis of PDEs 2013-05-06 v1

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 big loss of derivatives to hold.

Keywords

Cite

@article{arxiv.1305.0731,
  title  = {Semiclassical hypoelliptic estimates with a big loss of derivatives},
  author = {Alberto Parmeggiani and Karel Pravda-Starov},
  journal= {arXiv preprint arXiv:1305.0731},
  year   = {2013}
}