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Resolvent estimates for non-selfadjoint operators with double characteristics

Viola, Joseph Anthony LU (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:
author
organization
publishing date
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}},
}