On the Microlocal Properties of the Range of Systems of Principal Type
(2013) In Communications in Partial Differential Equations 38(3). p.410-454- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3636566
- author
- Dencker, Nils LU and Wittsten, Jens LU
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Bicharacteristics, Condition (), Inclusion relations, Microlocal, solvability, Principal type, Systems of pseudodifferential operators, Primary 35S05, Secondary 35A02, 58J40, 47G30
- in
- Communications in Partial Differential Equations
- volume
- 38
- issue
- 3
- pages
- 410 - 454
- publisher
- Taylor & Francis
- external identifiers
-
- wos:000316057300002
- scopus:84873172189
- ISSN
- 0360-5302
- DOI
- 10.1080/03605302.2012.747537
- language
- English
- LU publication?
- yes
- id
- 9155caf9-7d69-4401-9da2-dbead1cec7d8 (old id 3636566)
- date added to LUP
- 2016-04-01 11:08:53
- date last changed
- 2022-01-26 05:50:19
@article{9155caf9-7d69-4401-9da2-dbead1cec7d8, abstract = {{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.}}, author = {{Dencker, Nils and Wittsten, Jens}}, issn = {{0360-5302}}, keywords = {{Bicharacteristics; Condition (); Inclusion relations; Microlocal; solvability; Principal type; Systems of pseudodifferential operators; Primary 35S05; Secondary 35A02; 58J40; 47G30}}, language = {{eng}}, number = {{3}}, pages = {{410--454}}, publisher = {{Taylor & Francis}}, series = {{Communications in Partial Differential Equations}}, title = {{On the Microlocal Properties of the Range of Systems of Principal Type}}, url = {{http://dx.doi.org/10.1080/03605302.2012.747537}}, doi = {{10.1080/03605302.2012.747537}}, volume = {{38}}, year = {{2013}}, }