Monge solutions of time-dependent Hamilton-Jacobi equations in metric
spaces
Monge solutions of time-dependent Hamilton-Jacobi equations in metric
spaces
As a classical notion equivalent to viscosity solutions, Monge solutions are well understood for stationary Hamilton-Jacobi equations in Euclidean spaces and have been recently studied in general metric spaces. In this paper, we introduce a notion of Monge solutions for time-dependent Hamilton-Jacobi equations in metric spaces. The key idea is …