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Non-Elliptic Quadratic Forms and Semiclassical Estimates for Non-selfadjoint Operators

Viola, Joseph Anthony LU (2013) In International Mathematics Research Notices p.4615-4671
Abstract
We consider a class of pseudodifferential operators with a doubly characteristic point, where the quadratic part of the symbol fails to be elliptic but obeys an averaging assumption. Under suitable additional assumptions, semiclassical resolvent estimates are established, where the modulus of the spectral parameter is allowed to grow slightly more rapidly than the semiclassical parameter.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Mathematics Research Notices
issue
20
pages
4615 - 4671
publisher
Oxford University Press
external identifiers
  • wos:000325764500002
  • scopus:84885944272
ISSN
1073-7928
DOI
10.1093/imrn/rns188
language
English
LU publication?
yes
id
8d772b61-da2d-460d-9866-d1a62b4479b5 (old id 4171578)
date added to LUP
2016-04-01 10:05:02
date last changed
2022-04-27 18:19:44
@article{8d772b61-da2d-460d-9866-d1a62b4479b5,
  abstract     = {{We consider a class of pseudodifferential operators with a doubly characteristic point, where the quadratic part of the symbol fails to be elliptic but obeys an averaging assumption. Under suitable additional assumptions, semiclassical resolvent estimates are established, where the modulus of the spectral parameter is allowed to grow slightly more rapidly than the semiclassical parameter.}},
  author       = {{Viola, Joseph Anthony}},
  issn         = {{1073-7928}},
  language     = {{eng}},
  number       = {{20}},
  pages        = {{4615--4671}},
  publisher    = {{Oxford University Press}},
  series       = {{International Mathematics Research Notices}},
  title        = {{Non-Elliptic Quadratic Forms and Semiclassical Estimates for Non-selfadjoint Operators}},
  url          = {{http://dx.doi.org/10.1093/imrn/rns188}},
  doi          = {{10.1093/imrn/rns188}},
  year         = {{2013}},
}