Viscosity subsolutions of Hamilton–Jacobi equations and invariant sets of contact Hamilton systems
Viscosity subsolutions of Hamilton–Jacobi equations and invariant sets of contact Hamilton systems
This paper aims at providing a dynamic perspective of viscosity subsolutions to contact Hamiltonian–Jacobi equations H(x, ∂xu, u) = 0 on connected, closed manifold M. Based on implicit variational principles, we focus on the connection between positive invariant sets under Hamiltonian flow and viscosity subsolutions. We apply the connection to …