On the local solvability of vector fields with critical points

DOI10.1017/S1474748011000053zbMath1226.35011OpenAlexW2334198328MaRDI QIDQ3012897

François Treves

Publication date: 7 July 2011

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748011000053

zbMATH Keywords

critical pointshypoellipticityvector fieldslocal solvability

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20)

Cites Work

• Unnamed Item
• Normalization of complex-valued planar vector fields which degenerate along a real curve
• Linear differential systems with singularities and an application to transitive Lie algebras
• On local solvability of linear partial differential equations
• On the solvability of vector fields with real linear coefficients
• Local Solvability Of First Order Differential Operators Near A Critical Point, Operators With Quadratic Symbols And The Heisenberg Group
• Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions
• On the existence of hyperfunction solutions of linear differential equations of the first order with degenerate real principal symbols
• Solvability of a first order linear partial differential equation
• On planar elliptic structures with infinite type degeneracy