Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

On the Microlocal Properties of the Range of Systems of Principal Type

Dencker, Nils LU and Wittsten, Jens LU (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:
author
and
organization
publishing date
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}},
}