Inserted: 16 jun 2018
Last Updated: 18 jun 2018
This paper deals with the periodic homogenization of nonlocal parabolic Hamilton-Jacobi equations with superlinear growth in the gradient terms. We show that the problem presents different features depending on the order of the nonlocal operator, giving rise to three different limit problems.
Keywords: Homogenization, Viscosity solutions, Hamilton-Jacobi equations, integro-differential equations, fractional Laplacians