A Hamilton-Jacobi equation with measures arising in $\Gamma$-convergence of optimal control problems
Ariela Briani · Differential and Integral Equations · 1999
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 [9].