Homogenization of Hamilton-Jacobi equations in the Heisenberg group

Isabeau Birindelli; J. Wigniolle

doi:10.3934/cpaa.2003.2.461

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2003, Volume 2, Issue 4: 461-479. Doi: 10.3934/cpaa.2003.2.461

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Homogenization of Hamilton-Jacobi equations in the Heisenberg group

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

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

Received: December 31, 2002

Revised: July 31, 2003

Published: November 2003

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Abstract

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.

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Mathematics Subject Classification: 35B27, 35H05.

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