A remark on Goldschmidt's theorem on formal integrability

DOI10.1006/jmaa.2000.7277zbMath0999.35003OpenAlexW2006228865MaRDI QIDQ5927728

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Publication date: 26 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7277

zbMATH Keywords

Cauchy-Kowalewski normal formcharacteristic co-vectorssystems of nonlinear partial differential equationsWeil bundle techniques

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Cauchy-Kovalevskaya theorems (35A10) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Pseudogroups, differentiable groupoids and general structures on manifolds (58H99)

Related Items (6)

Monge-Ampère equations on (para-)Kähler manifolds: from characteristic subspaces to special Lagrangian submanifolds ⋮ On the finiteness of differential invariants. ⋮ Symmetries of PDE systems and correspondences between jet spaces ⋮ A transformation of PDE systems related to the drach theorem. ⋮ Primary spectrum of $\mathcal{C}^\infty(M)$ and jets theory ⋮ Some Canonical Structures of Cartan Planes in Jet Spaces and Applications

Cites Work

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• Prolongation of connections to bundles of infinitely near points
• Invariants of velocities and higher-order Grassmann bundles
• Integrability of Lie equations and pseudogroups
• Existence theorems for analytic linear partial differential equations
• Integrability criteria for systems of nonlinear partial differential equations
• The D-Neumann problem
• Weil bundles and jet spaces
• Affine structure on Weil bundles
• A differential geometric generalization of characteristics

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