A Hamilton-Jacobi equation with measures arising in Gamma-convergence of optimal control problems

Ariela Briani

1999

Publication type:

Paper in peer-reviewed journals

Journal:

Differential and Integral Equations, vol. 12(6), pp. 849-886

HAL:

hal-00975011

Abstract:

We consider a Hamilton-Jacobi equation with a measure in the Hamiltonian arising from the $\Gamma$-limit of some optimal control problems. We give a definition of viscosity solution in this case, by adapting the method of the reparametrization of Dal Maso and Rampazzo

BibTeX:

@article{Bri-1999,
    author={Ariela Briani },
    title={A Hamilton-Jacobi equation with measures arising in 
           Gamma-convergence of optimal control problems },
    journal={Differential and Integral Equations },
    year={1999 },
    volume={12(6) },
    pages={849--886},
}