Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. II. Equations of control problems with state constraints
Pierpaolo Soravia · Differential and Integral Equations · 1999
We prove local optimality principles for viscosity super and subsolutions of Hamilton-Jacobi equations with unbounded ingredients. We apply these results to characterize the (possibly multiple) discontinuous solutions of mixed Dirichlet and constrained boundary value problems.