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arXiv · 1003.1676

On Some Microlocal Properties of the Range of a Pseudo-Differential Operator of Principal Type

Jens Wittsten
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Abstract

The purpose of this paper is to obtain microlocal analogues of results by L. H örmander 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 $(Ψ)$.

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Jens Wittsten. 2011-06-13. On Some Microlocal Properties of the Range of a Pseudo-Differential Operator of Principal Type. https://doi.org/10.2140/apde.2012.5.423

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