10 citations · 12 across the 5 of their papers we have counts for
5 papers
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…
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…
Global solutions for systems of strongly invariant operators on closed manifolds
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Pedro Meyer Tokoro
We study the global hypoellipticity and solvability of strongly invariant operators and systems of strongly invariant operators on closed manifolds. Our approach is based on the Fo…
Global Hypoellipticity for Strongly Invariant Operators
Alexandre Kirilov, Wagner Augusto Almeida de Moraes
In this note, by analyzing the behavior at infinity of the matrix symbol of an invariant operator with respect to a fixed elliptic operator, we obtain a necessary and sufficien…