Discounted Hamilton-Jacobi equations on networks and asymptotic analysis
Discounted Hamilton-Jacobi equations on networks and asymptotic analysis
We study discounted Hamilton-Jacobi equations on networks, without putting any restriction on their geometry.Assuming the Hamiltonians are continuous and coercive, we establish a comparison principle and provide representation formulae for solutions.We follow the approach introduced in [11], namely we associate to the differential problem on the network, a discrete functional …