## Differential and Integral Equations

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

Ariela Briani

#### 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 [9].

#### Article information

Source
Differential Integral Equations, Volume 12, Number 6 (1999), 849-886.

Dates
First available in Project Euclid: 29 April 2013

Briani, Ariela. A Hamilton-Jacobi equation with measures arising in $\Gamma$-convergence of optimal control problems. Differential Integral Equations 12 (1999), no. 6, 849--886. https://projecteuclid.org/euclid.die/1367241479