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On some microlocal properties of the range of a pseudo-differential operator of principal type

Wittsten, Jens LU (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).
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author
supervisor
opponent
  • Pravda-Starov, Karel, Imperial College London
organization
publishing date
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}},
}