Mayer brackets and solvability of PDEs – II

DOI10.1090/S0002-9947-05-03724-4zbMath1093.35053MaRDI QIDQ5713167

Valentin V. Lychagin, Boris S. Kruglikov

Publication date: 12 December 2005

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

zbMATH Keywords

Weyl tensorSpencer cohomologycompatibility of PDEs

Mathematics Subject Classification ID

Jets in global analysis (58A20) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (12)

Sufficient set of integrability conditions of an orthonomic system ⋮ Spencer \(\delta\)-cohomology, restrictions, characteristics and involutive symbolic PDEs ⋮ Symmetry, compatibility and exact solutions of PDEs ⋮ On the Einstein-Weyl and conformal self-duality equations ⋮ Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method ⋮ The profinite dimensional manifold structure of formal solution spaces of formally integrable PDEs ⋮ Compatibility, multi-brackets and integrability of systems of PDEs ⋮ Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov-Burgers system revisited ⋮ Differential invariants for cubic integrals of geodesic flows on surfaces ⋮ Multi-brackets of differential operators and compatibility of PDE systems ⋮ Global Lie-Tresse theorem ⋮ Involutivity of field equations

Cites Work

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• Codimension and multiplicity
• Mayer brackets and solvability of PDEs. I
• Integrability criteria for systems of nonlinear partial differential equations
• INTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY
• Complete Intersections and Connectedness
• Some Algebraic Results Concerning the Characteristics of Overdetermined Partial Differential Equations
• Overdetermined systems of linear partial differential equations
• The integrability of characteristics
• Lie Equations, Vol. I
• An algebraic model of transitive differential geometry
• Quantum integrability of Beltrami-Laplace operator as geodesic equivalence

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