Global analytic hypoellipticity of involutive systems on compact manifolds
Given M a compact, connected and orientable, real-analytic manifold, and closed, real-
valued, real-analytic 1-forms ω 1,…, ω m on M, we characterize the global analytic …
valued, real-analytic 1-forms ω 1,…, ω m on M, we characterize the global analytic …
Global analytic solvability of involutive systems on compact manifolds
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 …
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 …
system - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …
Globally solvable complexes of pseudo-differential operators on the torus
FÁ Silva, C de Medeira - arXiv preprint arXiv:2407.03269, 2024 - arxiv.org
We consider a complex of pseudo-differential operators associated with an overdetermined
system of operators defined on the torus. We characterize the global solvability of this …
system of operators defined on the torus. We characterize the global solvability of this …
[PDF][PDF] Globally solvable complexes of pseudo-differential operators on the torus
F de Avila Silva, C de Medeira - arXiv preprint arXiv:2407.03269, 2024 - researchgate.net
We consider a complex of pseudo-differential operators associated with an overdetermined
system of operators defined on the torus. We characterize the global solvability of this …
system of operators defined on the torus. We characterize the global solvability of this …
[HTML][HTML] Global Gevrey solvability for a class of perturbations of involutive systems
IA Ferra - Journal of Differential Equations, 2021 - Elsevier
We study the global Gevrey solvability of the system L j=∂ t j+ aj (t)∂ x+ bj (t) in T tn× S x 1,
where∑ j= 1 najdtj is real,∑ j= 1 nbjdtj may be complex and both are closed 1-forms. We …
where∑ j= 1 najdtj is real,∑ j= 1 nbjdtj may be complex and both are closed 1-forms. We …