Existence of viscosity solutions for Hamilton-Jacobi equations on
Riemannian Manifolds via Lyapunov control
Existence of viscosity solutions for Hamilton-Jacobi equations on
Riemannian Manifolds via Lyapunov control
We give a new perspective on the existence of viscosity solutions for a stationary and a time-dependent first order Hamilton-Jacobi equation. Following recent comparison principles, we work in a framework in which we consider a subsolution and a supersolution for two equations in terms of two Hamiltonians that can be …