Fernando de Ávila Silva

activity

20152026

most citedGlobal hypoellipticity for a class of pseudo-differential operators on the torus

19 citations · 51 across the 7 of their papers we have counts for

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math.AP2026

Sobolev Regularity in Mixed and Isotropic Scales for Vector Fields on the Torus

Fernando de Ávila Silva, Alexandre Kirilov, André Pedroso Kowacs

We study regularity, existence, and uniqueness of solutions to vector fields on the two-dimensional torus in Sobolev spaces of dominating mixed smoothness, which measure regularity…

math.AP2026

Differential Complexes in Time-Periodic Gelfand-Shilov Spaces

Fernando de Ávila Silva, Marco Cappiello, Alexandre Kirilov +1

We study the global solvability of a class of differential complexes on the product manifold $T^{m} \times R^{n}$ associated with systems of evolution operators of th…