A contact linearization problem for Monge-Ampère equations and Laplace invariants

DOI10.1007/s10440-008-9195-5zbMath1158.35023OpenAlexW2074058992MaRDI QIDQ941634

Alexei G. Kushner

Publication date: 2 September 2008

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9195-5

zbMATH Keywords

linearizationcontact geometryLaplace invariantsMonge-Ampère equationsalmost product structures

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order nonlinear hyperbolic equations (35L70) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) Contact manifolds (general theory) (53D10) Second-order hyperbolic equations (35L10)

Related Items (6)

APPLICATION OF CARTAN’S EQUIVALENCE METHOD TO DISTRIBUTION OF PLANES ⋮ Integration of the deep bed filtration equations ⋮ Contact transformations in theory of frontal oil displacement ⋮ \(r\)-tuple almost product structures ⋮ On contact equivalence of Monge-Ampère equations to linear equations with constant coefficients ⋮ Transformation of hyperbolic Monge-Ampère equations into linear equations with constant coefficients

Cites Work

• Almost product structures and Monge-Ampère equations
• Chaplygin and Keldysh normal forms of Monge-Ampère equations of variable type
• Generalized Laplace invariants and the method of Darboux
• Monge-Ampère equations and \(e\)-structures
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• Dynamics of Director Fields
• Some classification problems in four-dimensional geometry: distributions, almost complex structures, and generalized Monge-Ampere equations
• Symplectic and contact Lie algebras with an application to Monge-Ampere equations
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