12 papers
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…
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 Ãvila 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…
Global Solvability for Involutive Systems on Non-Compact Manifolds
Sandro Coriasco, Alexandre Kirilov, Wagner Augusto Almeida de Moraes +1
We establish necessary and sufficient conditions for the closedness of the range of a class of first-order differential operators associated with an involutive structure on $M\time…