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Análise microlocal nas classes de Denjoy-Carleman

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Date
2016-03-07
Author
Medrado, Renan Dantas
http://lattes.cnpq.br/9403703489935356
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Abstract
Using a more general class of FBI transforms, introduced by S. Berhanu and J. Hounie in [16], 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 [27] 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 [1], [5], [13, 14], [35] and [43]. Inspired by [53], [56], [41] and [1] 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 [1], [5], [13, 14], [35] and [43].
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https://repositorio.ufscar.br/handle/ufscar/10909
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