Homogenization of Hamilton-Jacobi equations in the Heisenberg group
Isabeau Birindelli, Jérôme Wigniolle · Communications on Pure & Applied Analysis · 2003
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.