Non-Elliptic Quadratic Forms and Semiclassical Estimates for Non-selfadjoint Operators
(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:
https://lup.lub.lu.se/record/4171578
- author
- Viola, Joseph Anthony LU
- organization
- publishing date
- 2013
- 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}}, }