Local solvability for a class of differential complexes

DOI10.1007/BF02392616zbMath1004.58012MaRDI QIDQ5960877

Paulo D. Cordaro, Jorge G. Hounie

Publication date: 6 February 2003

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

local solvabilitydifferential complexesTrèves conjecture

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Differential complexes (58J10) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (12)

Complex symplectic geometry and solvability of systems of analytic vector fields ⋮ Real-analytic solvability for differential complexes associated to locally integrable structures ⋮ Unnamed Item ⋮ On the hypoellipticity of differential forms with isolated singularities ⋮ Global solvability of real analytic involutive systems on compact manifolds ⋮ On the range of unsolvable systems induced by complex vector fields ⋮ On some systems of real or complex vector fields and their related Laplacians ⋮ Gevrey local solvability in locally integrable structures ⋮ Topological Implications of Global Hypoellipticity ⋮ On local solvability of certain differential complexes ⋮ Top-degree global solvability in CR and locally integrable hypocomplex structures ⋮ Cauchy integral operator in complex structures with degeneracies

Cites Work

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• Homology and cohomology in hypo-analytic structures of the hypersurfaces type
• On Local Solvability of Underdetermined Systems of Vector Fields
• Local solvability for top degree forms in a class of systems of vector fields
• Hyperfunctions on Hypo-Analytic Manifolds (AM-136)
• Local exactness in a class of differential complexes
• Solvability of a first order linear partial differential equation

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