On the solvability of planar complex linear vector fields

DOI10.1090/S0002-9947-2012-05429-8zbMath1278.35005OpenAlexW1971860640MaRDI QIDQ2841365

François Treves

Publication date: 25 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05429-8

zbMATH Keywords

hypoellipticityglobalcompact orbitsemiglobal and local solvability

Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Hypoelliptic equations (35H10)

Related Items (1)

On the solvability of vector fields with real linear coefficients

Cites Work

• On the range of convolution operators
• Solvability near the characteristic set for a class of planar vector fields of infinite type.
• 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 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
• Elliptic planar vector fields with degeneracies
• Analytic‐hypoelliptic partial differential equations of principal type
• 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
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