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arXiv 2010-03-08 DOI 10.2140/apde.2012.5.423 0 views

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

Wittsten, Jens

Original · EN

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∞ 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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