On some microlocal properties of the range of a pseudo-differential operator of principal type
(2010)- Abstract
- The purpose of this thesis is to obtain microlocal analogues of results by L. Hörmander about inclusion relations between the ranges of first order differential operators with smooth coefficients which fail to be locally solvable. Using similar techniques, we shall study the properties of the range of classical pseudo-differential operators of principal type which fail to satisfy condition (ψ).
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1579602
- author
- Wittsten, Jens LU
- supervisor
-
- Nils Dencker LU
- opponent
-
- Pravda-Starov, Karel, Imperial College London
- organization
- publishing date
- 2010
- type
- Thesis
- publication status
- published
- subject
- defense location
- Matematikcentrum, Sölvegatan 18, sal MH:C
- defense date
- 2010-04-23 13:15:00
- ISBN
- 978-91-628-8059-0
- language
- English
- LU publication?
- yes
- id
- b419ed42-32a9-4ee1-ab53-f579f189eea5 (old id 1579602)
- date added to LUP
- 2016-04-04 09:25:47
- date last changed
- 2018-11-21 20:53:02
@phdthesis{b419ed42-32a9-4ee1-ab53-f579f189eea5, abstract = {{The purpose of this thesis is to obtain microlocal analogues of results by L. Hörmander about inclusion relations between the ranges of first order differential operators with smooth coefficients which fail to be locally solvable. Using similar techniques, we shall study the properties of the range of classical pseudo-differential operators of principal type which fail to satisfy condition (ψ).}}, author = {{Wittsten, Jens}}, isbn = {{978-91-628-8059-0}}, language = {{eng}}, school = {{Lund University}}, title = {{On some microlocal properties of the range of a pseudo-differential operator of principal type}}, year = {{2010}}, }