| Texto completo | |
| Autor(es): |
Rodrigues, Nicholas Braun
;
da Silva Jr, Antonio Victor
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS; v. 31, n. 1, p. 30-pg., 2025-02-01. |
| Resumo | |
We prove the existence of approximate solutions in the regular Denjoy-Carleman sense for some systems of smooth pairwise commuting complex vector fields. Such approximate solutions provide a well-defined notion of Denjoy-Carleman wave front set of distributions on C infinity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {C}<^>\infty $$\end{document}-smooth maximally real submanifolds in complex space which can be characterized in terms of the decay of a Fourier-Bros-Iagolnitzer transform. We also apply the approximate solutions to analyze the Denjoy-Carleman microlocal regularity of solutions of certain systems of first-order nonlinear partial differential equations. (AU) | |
| Processo FAPESP: | 20/15368-7 - Complexos diferenciais associados a estruturas localmente integráveis. |
| Beneficiário: | Nicholas Braun Rodrigues |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |