English

Dispersive estimates for principally normal pseudodifferential operators

Analysis of PDEs 2007-05-23 v1

Abstract

The aim of these notes is to describe some recent results concerning dispersive estimates for principally normal pseudodifferential operators. The main motivation for this comes from unique continuation problems. Such estimates can be used to prove Carleman inequalities, which in turn yield unique continuation results for various partial differential operators with rough potentials.

Keywords

Cite

@article{arxiv.math/0401234,
  title  = {Dispersive estimates for principally normal pseudodifferential operators},
  author = {Herbert Koch and Daniel Tataru},
  journal= {arXiv preprint arXiv:math/0401234},
  year   = {2007}
}

Comments

72 pages