SIAM Journal on Control and Optimization, Vol.38, No.5, 1501-1520, 2000
Invariant solutions of differential games and Hamilton-Jacobi-Isaacs equations for time-measurable Hamiltonians
We characterize invariance of time-varying domains with respect to differential games with time-measurable dynamics. We deduce from this result a new definition of viscosity solutions to some first order Hamilton-Jacobi equations with time-measurable Hamiltonians.