Vol. 5, No. 3, 2012

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 10, 3371–3670
Issue 9, 2997–3369
Issue 8, 2619–2996
Issue 7, 2247–2618
Issue 6, 1871–2245
Issue 5, 1501–1870
Issue 4, 1127–1500
Issue 3, 757–1126
Issue 2, 379–756
Issue 1, 1–377

Volume 16, 10 issues

Volume 15, 8 issues

Volume 14, 8 issues

Volume 13, 8 issues

Volume 12, 8 issues

Volume 11, 8 issues

Volume 10, 8 issues

Volume 9, 8 issues

Volume 8, 8 issues

Volume 7, 8 issues

Volume 6, 8 issues

Volume 5, 5 issues

Volume 4, 5 issues

Volume 3, 4 issues

Volume 2, 3 issues

Volume 1, 3 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1948-206X (online)
ISSN 2157-5045 (print)
 
Author index
To appear
 
Other MSP journals
On some microlocal properties of the range of a pseudodifferential operator of principal type

Jens Wittsten

Vol. 5 (2012), No. 3, 423–474
Abstract

We obtain microlocal analogues of results by L. Hörmander about inclusion relations between the ranges of first order differential operators with coefficients in C that fail to be locally solvable. Using similar techniques, we study the properties of the range of classical pseudodifferential operators of principal type that fail to satisfy condition (Ψ).

Keywords
pseudodifferential operators, microlocal solvability, principal type, condition ($\varPsi$), inclusion relations, bicharacteristics
Mathematical Subject Classification 2000
Primary: 35S05
Secondary: 35A07, 58J40, 47G30
Milestones
Received: 14 July 2010
Revised: 10 December 2010
Accepted: 5 February 2011
Published: 15 October 2012
Authors
Jens Wittsten
Center for Mathematical Sciences
Lund University
Box 118
SE-221 00 Lund
Sweden