Homogenization Of Monotone Systems Of Non-coercive Hamilton-Jacobi Equations

In this paper, we study homogenization for a class of monotone systems of Hamilton-Jacobi equations of the formWhen (?)→0, the system converges to the homogenized systemThe limit system (homogenized system) is based on the ergodic approximation of the cell problem. That is, the existence of the hamiltonians (?) of the limit problem are characterized by appropriate cell problems. We prove that the solution of oscillating system converges uniformly to the solution of homogenized system.