Jens Wittsten
Published 2010-03-08, updated 2011-06-13Version 4
The purpose of this paper is to obtain microlocal analogues of results by L. H \"ormander about inclusion relations between the ranges of first order differential operators with coefficients in $C^\infty$ which fail to be locally solvable. Using similar techniques, we shall study the properties of the range of classical pseudo-differential operators of principal type which fail to satisfy condition $(\Psi)$.
Comments: With 1 figure. Corrected typos. Rewrote parts of Section 2 to account for new language. Corrected an erroneous comment following Theorem 2.19
On the microlocal properties of the range of systems of principal type
Global Properties for first order differential operators on $\mathbb{T}^{r+1}\times(\mathbb{S}^{3})^s$
Microlocal properties of scattering matrices
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