Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients
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- by Günther Hörmann, Michael Oberguggenberger and Stevan Pilipović PDF
- Trans. Amer. Math. Soc. 358 (2006), 3363-3383 Request permission
Abstract:
We investigate microlocal properties of partial differential operators with generalized functions as coefficients. The main result is an extension of a corresponding (microlocalized) distribution theoretic result on operators with smooth hypoelliptic symbols. Methodological novelties and technical refinements appear embedded into classical strategies of proof in order to cope with most delicate interferences by non-smooth lower order terms. We include simplified conditions which are applicable in special cases of interest.References
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Additional Information
- Günther Hörmann
- Affiliation: Institut für Mathematik, Universität Wien, A-1010 Vienna, Austria
- Michael Oberguggenberger
- Affiliation: Institut für Technische Mathematik, Geometrie und Bauinformatik, Universität Innsbruck, Technikerstrasse 13, A-6020 Innsbruck, Austria
- Stevan Pilipović
- Affiliation: Institute of Mathematics and Informatics, Faculty of Science and Mathematics, University of Novi Sad, 21000 Novi Sad, Serbia
- Received by editor(s): March 24, 2003
- Received by editor(s) in revised form: May 4, 2004
- Published electronically: May 9, 2005
- Additional Notes: The first author was supported by FWF grant P14576-MAT
The third author was supported by the MNTR of Serbia, Project 1835 - © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 358 (2006), 3363-3383
- MSC (2000): Primary 46F30, 35D10
- DOI: https://doi.org/10.1090/S0002-9947-05-03759-1
- MathSciNet review: 2218979