2 citations · 3 across the 11 of their papers we have counts for
11 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 d…
Gelfand-Shilov spaces and operators with ultradifferential weighted symbols on non-compact manifolds
Sandro Coriasco, Pedro Meyer Tokoro
We invariantly define Gelfand-Shilov spaces on classes of non-compact manifolds with a certain ``structure at infinity''. We also construct and study a global calculus of pseudodif…
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…
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…
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…
Solvability of Vekua-type periodic operators and applications to classical equations
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Pedro Meyer Tokoro
In this note, we investigate Vekua-type periodic operators of the form , where is a constant coefficient partial differential operator. We provide a complete…