Global analytic solvability of involutive systems on compact manifolds

G Araújo, PLD da Silva, B de Lessa Victor - The Journal of Geometric …, 2023 - Springer
Let M be a compact, connected, orientable and real-analytic manifold; consider closed, real-
valued, real-analytic 1-forms ω 1,…, ω m on M and the differential complex over M× T m …

Global Gevrey solvability of a complex of differential operators associated with an involutive system

GA de Lima, C de Medeira - Journal of Mathematical Analysis and …, 2024 - Elsevier
Global Gevrey solvability of a complex of differential operators associated with an involutive
system - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …

Diagonal systems of differential operators on compact Lie groups

PLD da Silva, A Kirilov, RP da Silva - arXiv preprint arXiv:2412.16623, 2024 - arxiv.org
We investigate the global hypoellipticity and global solvability of systems of left-invariant
differential operators on compact Lie groups. Focusing on diagonal systems, we establish …

[PDF][PDF] A comparison principle between certain Levi-flat compact CR manifolds and systems of real vector fields

PD Cordaro, V Novelli - arXiv preprint arXiv:2311.00607, 2023 - arxiv.org
arXiv:2311.00607v1 [math.CV] 1 Nov 2023 Page 1 arXiv:2311.00607v1 [math.CV] 1 Nov
2023 A COMPARISON PRINCIPLE BETWEEN CERTAIN LEVI-FLAT COMPACT CR …

Regularity and comparison principles in complex analysis and locally integrable structures

VN Silva - 2024 - teses.usp.br
This thesis deals with three topics, related to complex analysis in several variables, CR
geometry and systems of partial differential equations. Firstly, we study a comparison …