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On the Microlocal Properties of the Range of Systems of Principal Type
Lunds universitet.
Kyoto University. (Matematik)ORCID iD: 0000-0002-0905-6188
2013 (English)In: Communications in Partial Differential Equations, Vol. 38, no 3, p. 410-454Article in journal (Refereed) Published
Abstract [en]

The purpose of this paper is to study microlocal conditions for inclusion relations between the ranges of square systems of pseudodifferential operators which fail to be locally solvable. The work is an extension of earlier results for the scalar case in this direction, where analogues of results by L. Hormander about inclusion relations between the ranges of first order differential operators with coefficients in C which fail to be locally solvable were obtained. We shall study the properties of the range of systems of principal type with constant characteristics for which condition () is known to be equivalent to microlocal solvability.

Place, publisher, year, edition, pages
2013. Vol. 38, no 3, p. 410-454
Keywords [en]
Bicharacteristics, Condition (), Inclusion relations, Microlocal solvability, Principal type, Systems of pseudodifferential operators, Primary 35S05, Secondary 35A02, 58J40, 47G30
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hb:diva-25220DOI: 10.1080/03605302.2012.747537ISI: 000316057300002Scopus ID: 2-s2.0-84873172189OAI: oai:DiVA.org:hb-25220DiVA, id: diva2:1540710
Note

Export Date: 29 March 2021; Article

Available from: 2021-03-30 Created: 2021-03-30 Last updated: 2025-09-24Bibliographically approved

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Wittsten, Jens

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