Hyperbolic exterior differential systems and their conservation laws. II

DOI10.1007/BF01671567zbMath0853.58103OpenAlexW1994827901MaRDI QIDQ1900241

Lucas Hsu, Robert L. Bryant, Phillip A. Griffiths

Publication date: 5 January 1997

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01671567

zbMATH Keywords

conservation lawshyperbolic exterior differential system of class \(s\)

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Exterior differential systems (Cartan theory) (58A15) Second-order hyperbolic equations (35L10) Hyperbolic equations on manifolds (58J45)

Related Items (11)

The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane ⋮ On a generalization of Monge-Ampère equations and Monge-Ampère systems ⋮ The genus-zero five-vertex model ⋮ Vessiot structure for manifolds of $(p,q)$-hyperbolic type: Darboux integrability and symmetry ⋮ Higher-order conservation laws for the nonlinear Poisson equation via characteristic cohomology ⋮ Local vanishing of characteristic cohomology ⋮ The variational bi-complex for systems of semi-linear hyperbolic PDEs in three variables ⋮ Superposition formulas for exterior differential systems ⋮ Some classification results for hyperbolic equations \(F(x,y,u,u_x,u_y,u_{xx},u_{xy},u_{yy})=0\) ⋮ Bäcklund transformations for Darboux integrable differential systems ⋮ Bäcklund transformations for general PDE's

Cites Work

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• A fundamental property of Monge characteristics in involutive systems of nonlinear partial differential equations and its application
• Characteristic cohomology of differential systems. II: Conservation laws for a class of parabolic equations
• Uniqueness via the adjoint problems for systems of conservation laws
• Characteristic Cohomology of Differential Systems (I): General Theory
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations

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