Fernando de 'Avila Silva

activity

20192025

most citedGlobal hypoellipticity for a class of periodic Cauchy operators

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2025

Global hypoellipticity and solvability for a class of evolution operators in time-periodic weighted Sobolev spaces

Fernando de Ávila Silva, Matteo Bonino, Sandro Coriasco

We study the hypoellipticity and solvability properties of a class of time-periodic evolution operators, with coefficients globally defined on $R^{d}$ and growing polynomial…

math.AP2021

Time-periodic Gelfand-Shilov spaces and global hypoellipticity on $T \times R^{n}$

Fernando de Ávila Silva, Marco Cappiello

We introduce a class of time-periodic Gelfand-Shilov spaces of functions on $T \times R^{n}$ , where $T \sim R /2 π Z$ is the one-dimensiona…

math.AP2019★ 5 cited

Global hypoellipticity for a class of periodic Cauchy operators

Fernando de Ávila Silva

This note presents an investigation on the global hypoellipticity problem for Cauchy operators on $T^{n + 1}$ belonging to the class \linebreak $L = \prod_{j=1}^{m}\left(D_t…

Global hypoellipticity and solvability for a class of evolution operators in time-periodic weighted Sobolev spaces

Time-periodic Gelfand-Shilov spaces and global hypoellipticity on T×Rn

Global hypoellipticity for a class of periodic Cauchy operators

Time-periodic Gelfand-Shilov spaces and global hypoellipticity on $T \times R^{n}$