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On vectorial Hamilton-Jacobi equations
Imbert, Cyril ; Volle, Michel
HAL, hal-00176540 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-07-05
Classification:  Hamilton-Jacobi equations,  vector-valued Hamiltonian,  Hopf-Lax formulae,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00176540,
     author = {Imbert, Cyril and Volle, Michel},
     title = {On vectorial Hamilton-Jacobi equations},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00176540}
}

Imbert, Cyril; Volle, Michel. On vectorial Hamilton-Jacobi equations. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00176540/