4 citations · 5 across the 7 of their papers we have counts for
7 papers
Real involutive systems on compact Lie groups
Gabriel Araújo, Igor A. Ferra, Max R. Jahnke +1
On a compact connected Lie group , we study the global solvability and the cohomology spaces of the differential complex associated with an essentially real involutive structure…
Global solvability for a class of pseudodifferential operators on the torus
Igor A. Ferra
We give a complete characterization for the global solvability of a pseudodifferential operator P=D_t + c(t,D_x) on the (N+1)-dimensional torus T^{N+1} = S^1_t x T^N_x. Our charact…
Propagation of regularity for a class of systems of real vector fields on torus
Igor Ambo Ferra, Luís Antônio Carvalho dos Santos
We characterize the global hypoellipticity, almost hypoellipticity and solvability for a class of systems of real vector fields on the (n + 1)-dimensional torus as well as the same…
Global solvability and cohomology of tube structures on compact manifolds
Gabriel Araújo, Igor A. Ferra, Max R. Jahnke +1
We introduce new techniques to study the differential complexes associated to tube structures on of corank , in which is a compact manifold and $\mat…
Global analytic hypoellipticity and solvability of certain operators subject to group actions
Gabriel Araújo, Igor A. Ferra, Luis F. Ragognette
On , where is a compact real-analytic manifold and is a compact Lie group, we consider differential operators which are invariant by left translations on $G…
Global solvability and propagation of regularity of sums of squares on compact manifolds
Gabriel Araújo, Igor A. Ferra, Luis F. Ragognette
We investigate global solvability, in the framework of smooth functions and Schwartz distributions, of certain sums of squares of vector fields defined on a product of compact Riem…
Global hypoellipticity of sums of squares on compact manifolds
Gabriel Araújo, Igor A. Ferra, Luis F. Ragognette
In this work, we present necessary and sufficient conditions for an operator of the type sum of squares to be globally hypoelliptic on a product of compact Riemannian manifolds $T…