Global solvability for a class of overdetermined systems

DOI10.1016/j.jfa.2007.03.013zbMath1158.58011OpenAlexW2023710801MaRDI QIDQ2461251

Alexandre Kirilov, Adalberto Panobianco Bergamasco

Publication date: 27 November 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.03.013

zbMATH Keywords

global solvabilitylevel setscomplex vector fieldsoverdetermined systems

Mathematics Subject Classification ID

Differential complexes (58J10) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (17)

Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane ⋮ Tube structures of co-rank 1 with forms defined on compact surfaces ⋮ Partial Fourier series on compact Lie groups ⋮ Global solvability of real analytic involutive systems on compact manifolds ⋮ Global solutions to involutive systems ⋮ Classes of globally solvable involutive systems ⋮ Globally hypoelliptic triangularizable systems of periodic pseudo‐differential operators ⋮ A class of globally non-solvable involutive systems on the torus ⋮ Global analytic hypoellipticity of involutive systems on compact manifolds ⋮ Global analytic solvability of involutive systems on compact manifolds ⋮ Global solvability of real analytic involutive systems on compact manifolds. Part 2 ⋮ On the global solvability of involutive systems ⋮ Global hypoellipticity for a class of pseudo-differential operators on the torus ⋮ Global Gevrey solvability for a class of involutive systems on the torus ⋮ Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type ⋮ Globally solvable systems of complex vector fields ⋮ On the global solvability for overdetermined systems

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