Solvability near the characteristic set for a class of first order linear partial opera

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Venue:GL 165

Paulo Dattori will be speaking.

Abstract: Let P be a planar first order linear partial differential operator (with smooth coefficients). Let K be the characteristic set of P. In this talk we will address to the following problem: Given a smooth function f in a neighborhood of K, is there a smooth (or else continuous) function u solution of Pu=f in a neighborhood of K?