Lois de conservation et géométrie symplectique. (Conservation laws and symplectic geometry). (French) Zbl 0721.58019

Chaperon, Marc

C. R. Acad. Sci., Paris, Sér. I 312, No. 4, 345-348 (1991).

Using some recent results in symplectic geometry, the author gives a generalization of a theorem which was proved by T. Debeneix in C. R. Acad. Sci., Paris, Sér. I 287, 763-766 (1978; Zbl 0401.35073).

Reviewer: M.Puta (Timişoara)

MSC:

37J99	Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
35L65	Hyperbolic conservation laws
35L45	Initial value problems for first-order hyperbolic systems
35A05	General existence and uniqueness theorems (PDE) (MSC2000)

Keywords:

Hamilton-Jacobi equation; conservation laws; symplectic geometry

Citations:

Zbl 0401.35073