Second order type-changing equations for a scalar function on a plane

zbMath1246.35137MaRDI QIDQ411709

Takahiro Noda, Kazuhiro Shibuya

Publication date: 30 April 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1332337240

zbMATH Keywords

exterior differential systemsCartan-Kähler theorem

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Jets in global analysis (58A20) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (3)

Contact geometry of third-order partial differential equations with two independent variables ⋮ Type-changing PDE and singularities of Monge characteristic systems ⋮ Rank two prolongations of second-order PDE and geometric singular solutions

Cites Work

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• On the prolongation of 2-jet space of 2 independent and 1 dependent variables
• On the equivalence problems associated with simple graded Lie algebras
• Geometrization of jet bundles
• Second-order type-changing evolution equations with first-order intermediate equations
• On generalized graded Lie algebras and geometric structures. I
• ON IMPLICIT SECOND-ORDER PDE OF A SCALAR FUNCTION ON A PLANE VIA DIFFERENTIAL SYSTEMS
• Contact Geometry of Second Order I
• CLASSIFICATION OF GENERIC INTEGRAL DIAGRAMS AND FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS

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