On vectorial Hamilton-Jacobi equations

Abstract : We consider the generalized Hopf and Lax functions associated with a vector-valued hamiltonian and we prove that they still provide lower semicontinuous solutions for the corresponding vectorial Hamilton-Jacobi equation in a very general context. Uniqueness of these generalized solutions is also investigated.
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  • HAL Id : hal-00176540, version 1

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Cyril Imbert, Michel Volle. On vectorial Hamilton-Jacobi equations. Control and Cybernetics, Polish Academy of Sciences, 2002, 31 (3), pp.493-506. ⟨hal-00176540⟩

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