Conjunto frente de ondas em classe de funções ultradiferenciáveis de soluções de equações diferenciais parciais lineares

Abstract

In this work, we introduce the wave front set WF,(u) of a classical distribution with respect to the ultradifferentiable classes of Beurling and Eomieu type. Our main goal is to present a detailed proof of the inclusion

WF*(u) c WF^(Pu) U Char P, Vu e V(Q).

In the above expression, Q is an open subset of Rn, P is a linear partial differential operator with coefficients in a suitable ultradifferentiable class and Char P is the characteristic set P