3 papers
math.AP2023
Smooth and Gevrey Microlocal Hypoellipticity for a Class of Hypocomplex Tube Structures
Nicholas Braun Rodrigues
We prove a smooth and Gevrey- microlocal hypoellipticity result for a system of complex vector fields associated with a real-analytic locally integrable structure of tube type,…
math.CV2020
An FBI characterization for Gevrey vectors on hypo-analytic structures and propagation of Gevrey singularities
Nicholas Braun Rodrigues
In this work we prove an FBI characterization for Gevrey vectors on hypo-analytic structures, and we analyze the main differences of Gevrey regularity and hypo-analyticity concerni…
math.AP2018
Approximate solutions of vector fields and an application to Denjoy-Carleman regularity of solutions of a nonlinear PDE
Nicholas Braun Rodrigues, Antonio V. da Silva
In this paper we study microlocal regularity of a solution of the equation \begin{equation*} u_t = f(x,t,u,u_x), \end{equation*} where is ultrad…