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

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Author

Summary, in English

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).

Department/s

Publishing year

2010

Language

English

Document type

Dissertation

Topic

  • Mathematics

Status

Published

Research group

  • Partial differential equations

Supervisor

ISBN/ISSN/Other

  • ISBN: 978-91-628-8059-0

Defence date

23 April 2010

Defence time

13:15

Defence place

Matematikcentrum, Sölvegatan 18, sal MH:C

Opponent

  • Karel Pravda-Starov