On some microlocal properties of the range of a pseudo-differential operator of principal type.
(2012) In Analysis & PDE 5(3). p.423-474- Abstract
- We obtain microlocal analogues of results by L. Hormander about inclusion relations between the ranges of first order differential operators with coefficients in C-infinity that fail to be locally solvable. Using similar techniques, we study the properties of the range of classical pseudodifferential operators of principal type that fail to satisfy condition (Psi).
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3283241
- author
- Wittsten, Jens LU
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- pseudodifferential operators, microlocal solvability, principal type, condition (Psi), inclusion relations, bicharacteristics
- in
- Analysis & PDE
- volume
- 5
- issue
- 3
- pages
- 423 - 474
- publisher
- Mathematical Sciences Publishers
- external identifiers
-
- wos:000310810800001
- scopus:84873156693
- ISSN
- 2157-5045
- DOI
- 10.2140/apde.2012.5.423
- language
- English
- LU publication?
- yes
- id
- 2d2162c0-1766-46ba-ab41-282a71e6359a (old id 3283241)
- date added to LUP
- 2016-04-01 10:01:35
- date last changed
- 2022-01-25 19:00:41
@article{2d2162c0-1766-46ba-ab41-282a71e6359a, abstract = {{We obtain microlocal analogues of results by L. Hormander about inclusion relations between the ranges of first order differential operators with coefficients in C-infinity that fail to be locally solvable. Using similar techniques, we study the properties of the range of classical pseudodifferential operators of principal type that fail to satisfy condition (Psi).}}, author = {{Wittsten, Jens}}, issn = {{2157-5045}}, keywords = {{pseudodifferential operators; microlocal solvability; principal type; condition (Psi); inclusion relations; bicharacteristics}}, language = {{eng}}, number = {{3}}, pages = {{423--474}}, publisher = {{Mathematical Sciences Publishers}}, series = {{Analysis & PDE}}, title = {{On some microlocal properties of the range of a pseudo-differential operator of principal type.}}, url = {{http://dx.doi.org/10.2140/apde.2012.5.423}}, doi = {{10.2140/apde.2012.5.423}}, volume = {{5}}, year = {{2012}}, }