English

Resolvent estimates for non-selfadjoint operators with double characteristics

Analysis of PDEs 2016-07-14 v2 Spectral Theory

Abstract

We study resolvent estimates for non-selfadjoint semiclassical pseudodifferential operators with double characteristics. Assuming that the quadratic approximation along the double characteristics is elliptic, we obtain polynomial upper bounds on the resolvent in a suitable region inside the pseudospectrum.

Keywords

Cite

@article{arxiv.0910.2511,
  title  = {Resolvent estimates for non-selfadjoint operators with double characteristics},
  author = {Joe Viola},
  journal= {arXiv preprint arXiv:0910.2511},
  year   = {2016}
}

Comments

38 pages. J. London Math. Soc., to appear. Published version may differ

R2 v1 2026-06-21T13:57:59.032Z