Demarks about certain first-order linear pdf in two variables

DOI10.1080/0360530800882143zbMath0519.35008OpenAlexW2024379380MaRDI QIDQ5902662

François Treves

Publication date: 1980

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0360530800882143

zbMATH Keywords

Mizohata operatorfirst-order linear PDE in two variablessmooth complex vector field

Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Cauchy-Kovalevskaya theorems (35A10)

Related Items (15)

Pseudoconvex Mizohata Structures on Compact Manifolds ⋮ Global properties of a class of vector fields in the plane ⋮ Colombeau generalized functions and solvability of differential operators ⋮ Solvability in the large and boundary value problems for Mizohata type operators ⋮ Local solvability in \(C^{\infty}_ c\) of over-determined systems of vector fields ⋮ The missing first integral ⋮ On planar elliptic structures with infinite type degeneracy ⋮ Almost Mizohata Operators ⋮ Unnamed Item ⋮ The Mizohata Structure on the Sphere ⋮ Elliptic planar vector fields with degeneracies ⋮ Existence and nonexistence of homotopy formulas for the Mizohata complex ⋮ Properties of solutions of a class of planar elliptic operators with degeneracies ⋮ On the integrability of Mizohata structures on the sphere \(\mathbb{S}^2\) ⋮ On the similarity principle for planar vector fields: Application to second order PDE

Cites Work

• An outline of the theory of pseudoanalytic functions
• Solvability of a first order linear partial differential equation
• Differential equations without solutions

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