S. Coriasco

collaborators

4 papers

math.AP2026

Top-Degree Global Solvability for Tube Complexes in Gevrey Ultradistributions

Sandro Coriasco, Alexandre Kirilov, Wagner Augusto Almeida de Moraes +1

Let $s > 1$ , let $M$ be a connected, non-compact, oriented real-analytic manifold, and let $I ¨ _{1}, \dots, I ¨ _{m}$ be real-valued closed $1$ -forms of Gevrey order $s$ on $M$ . We study the…

math.AP2026

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 $M \times T^{m}$ , where $M…

math.AP2025

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…

math.AP2025

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 $L = d_{t} + \sum_{k = 1}^{m} I ¨ _{k} \land \partial_{x_{k}}$ , defined on differential forms over product manifolds of t…