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Homogenization of Hamilton-Jacobi equations in the Heisenberg group
Setting the Homogenization of Hamilton Jacobi equations in the
geometry of the Heisenberg group, we study the convergence toward a solution
of the limit equation i.e. the solution of the effective Hamiltonian, in particular we estimate the rate of convergence.
The periodicity of the fast variable and the dilation
are both taken compatibly with the group.