Title On some microlocal properties of the range of a pseudo-differential operator of principal type.
Authors Jens Wittsten
Alternative Location http://dx.doi.org/10.2140/a..., Restricted Access
Publication Analysis & PDE
Year 2012
Volume 5
Issue 3
Pages 423 - 474
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher Mathematical Science Publications
Abstract English We obtain microlocal analogues of results by L. Hormander about inclusion relations between the ranges of first order differential operators with coefficients in C-infinity 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 (Psi).
Keywords pseudodifferential operators, microlocal solvability, principal type, condition (Psi), inclusion relations, bicharacteristics,
ISBN/ISSN/Other ISSN: 1948-206X

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