Resolvent estimates for non-selfadjoint operators with double characteristics
(2012) In Journal of the London Mathematical Society 85. p.41-78- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2355144
- author
- Viola, Joseph Anthony LU
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of the London Mathematical Society
- volume
- 85
- pages
- 41 - 78
- publisher
- Oxford University Press
- external identifiers
-
- wos:000299350100003
- scopus:84856390199
- ISSN
- 0024-6107
- DOI
- 10.1112/jlms/jdr060
- language
- English
- LU publication?
- yes
- id
- 64e5e619-46e3-44c0-a413-5931396add7d (old id 2355144)
- date added to LUP
- 2016-04-01 10:50:45
- date last changed
- 2022-04-28 01:56:43
@article{64e5e619-46e3-44c0-a413-5931396add7d, 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.}}, author = {{Viola, Joseph Anthony}}, issn = {{0024-6107}}, language = {{eng}}, pages = {{41--78}}, publisher = {{Oxford University Press}}, series = {{Journal of the London Mathematical Society}}, title = {{Resolvent estimates for non-selfadjoint operators with double characteristics}}, url = {{http://dx.doi.org/10.1112/jlms/jdr060}}, doi = {{10.1112/jlms/jdr060}}, volume = {{85}}, year = {{2012}}, }