Global solvability for first order real linear partial differential operators

DOI10.1016/j.jde.2009.08.017zbMath1194.35100OpenAlexW4210772967MaRDI QIDQ1038493

Maurício Fronza da Silva, José R. dos Santos Filho

Publication date: 18 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.08.017

zbMATH Keywords

sufficient conditions for global solvabilitynon-resonance type conditions

Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items

Gevrey global solvability of non-singular real first-order differential operators ⋮ Global solvability for first order real linear partial differential operators. II. ⋮ Global solvability for first order real linear partial differential operators. III

Cites Work

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• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• Counterexamples to the Seifert conjecture and opening closed leaves of foliations
• On a certain class of Fuchsian partial differential equations
• Injective mappings and solvable vector fields of Euclidean spaces.
• A smooth counterexample to the Seifert conjecture
• Fourier integral operators. II
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Propagation of singularities through radial points
• A Note on Global Solvability of Vector Fields
• Closed Integral Curves in 3-Space and Isotopic Two-Dimensional Deformations