Análise microlocal nas classes de Denjoy-Carleman
Medrado, Renan Dantas
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Using a more general class of FBI transforms, introduced by S. Berhanu and J. Hounie in , we completely characterize regularity and microregularity in Denjoy-Carleman (non quasi analytic) classes, which includes the Gevrey classes and M. Chist FBI transform defined in  as examples. Using the classic FBI transform we completely describe the M—wave-front set of the boundary values of solutions in wedges W of hypo Denjoy-Carleman structures (M, V) (Definição 3.1.2) proving similar results first obtained by , , [13, 14],  and . Inspired by , ,  and  we introduce the notion of nonlinear Mizohata type equations and study microlocal Denjoy-Carleman regularity for solutions u of non linear equations, extending the main results of , , [13, 14],  and .