Stability properties and large time behavior of viscosity solutions of   Hamilton-Jacobi equations on metric spaces
  We investigate asymptotic behaviors of a metric viscosity solution of a Hamilton-Jacobi equation defined on a general metric space in Gangbo-\'{S}wi\c{e}ch sense. Our results include general stability and large time behavior of the solution. 
Atsushi Nakayasu, Tokinaga Namba
math.AP