Equivariant moving frame method and the local equivalence of \(u _{xx } = r(x, u, v, u_{x }, v_{x })\) under fiber-preserving transformations

DOI10.1007/s10883-011-9130-3zbMath1241.35006OpenAlexW2078422280MaRDI QIDQ415576

Francis Valiquette

Publication date: 8 May 2012

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-011-9130-3

zbMATH Keywords

degenerate casegeneric caseHilbert-Cartan equationscalar control equations

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Exterior differential systems (Cartan theory) (58A15) Differential invariants (local theory), geometric objects (53A55)

Related Items (2)

Normal forms, moving frames, and differential invariants for nondegenerate hypersurfaces in \(\mathbb{C}^2\) ⋮ Convergent normal form for five dimensional totally nondegenerate CR manifolds in \(\mathbb{C}^4\)

Cites Work

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