7 papers · 1 filter
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…
Perturbations of globally hypoelliptic pseudo-differential operators on
Pedro Meyer Tokoro
This paper demonstrates the stability of the global regularity for a class of pseudo-differential operators under lower-order perturbations. We establish that if an operator has a…
Global hypoellipticity on time-periodic Gelfand-Shilov spaces via non-discrete Fourier analysis
André Pedroso Kowacs, Pedro Meyer Tokoro
In this paper, we provide a characterization of the time-periodic Gelfand-Shilov spaces, as introduced by F. de Ávila Silva and M. Cappiello [J. Funct. Anal., 282(9):29, 2022], thr…
Global hypoellipticity for involutive systems on non-compact manifolds
Sandro Coriasco, Alexandre Kirilov, Wagner Augusto Almeida de Moraes +1
We study the global hypoellipticity of the operator , defined on differential forms over product manifolds of th…