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Homogenization of Hamilton-Jacobi equations in the Heisenberg group

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  • 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.
    Mathematics Subject Classification: 35B27, 35H05.


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