Homogenization of Hamilton-Jacobi equations in the Heisenberg group

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December 2003, 2(4): 461-479. doi: 10.3934/cpaa.2003.2.461

Homogenization of Hamilton-Jacobi equations in the Heisenberg group

Isabeau Birindelli ^1, and J. Wigniolle ^2,

1.	Dipartimento di Matematica, Università di Roma, Italy
2.	Departement de Mathematiques, Universite de Cergy Pontoise, Cergy-Pontoise, France

Received January 2003 Revised August 2003 Published October 2003

Abstract
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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.

Keywords: Homogenization, Hamilton Jacobi., Heisenberg group.

Mathematics Subject Classification: 35B27, 35H0.

Citation: Isabeau Birindelli, J. Wigniolle. Homogenization of Hamilton-Jacobi equations in the Heisenberg group. Communications on Pure & Applied Analysis, 2003, 2 (4) : 461-479. doi: 10.3934/cpaa.2003.2.461

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