29 citations · 152 across the 28 of their papers we have counts for
6 papers · 2 filters
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…
Top-Degree Global Solvability for Tube Complexes in Gevrey Ultradistributions
Sandro Coriasco, Alexandre Kirilov, Wagner Augusto Almeida de Moraes +1
Let , let be a connected, non-compact, oriented real-analytic manifold, and let be real-valued closed -forms of Gevrey order on . We study the d…
Vekua-Type Operators on Compact Lie Groups: Hypoellipticity, Solvability, and Self-Duality
Alexandre Kirilov, Ricardo Paleari da Silva
We study global hypoellipticity and global solvability for Vekua-type operators associated with diagonal left-invariant operators on compact Lie groups. The conjugation term produc…
Global Gevrey Hypoellipticity of Involutive Systems on Non-Compact Manifolds
Sandro Coriasco, Alexandre Kirilov, Wagner Augusto Almeida de Moraes +1
We investigate the global Gevrey hypoellipticity of a class of first-order differential operators associated with tube-type involutive structures on , where $M…
Solvability of a class of evolution operators on compact Lie groups
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Pedro Meyer Tokoro
This paper provides sufficient conditions for the solvability of a class of first-order evolution operators of Vekua-type on the product of a one-dimensional torus and a compact Li…
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 associated with systems of evolution operators of th…