Jens Wittsten, Lund, Microlocal properties of the range of a pseudodifferential operator of principal type

Abstract: In this talk we discuss microlocal analogues of results by L. Hörmander about inclusion relations between the ranges of first order differential operators with smooth coefficients which fail to be locally solvable. Using similar techniques, we shall study the properties of the range of classical pseudodifferential operators of principal type which fail to satisfy condition (Ψ).