Homogenization of Hamilton-Jacobi equations in the Heisenberg group. (English) Zbl 1043.35025

Birindelli, I.; Wigniolle, J.

Commun. Pure Appl. Anal. 2, No. 4, 461-479 (2003).

The authors study the periodic homogenization problem for Hamilton-Jacobi equations on the Heisenberg group in the case fast of oscillating Hamiltonians. The solutions considered are viscosity solutions. The limit problem is identified and an estimate of the rate of convergence to the solution of the limit problem is also obtained.

Reviewer: Marco Biroli (Milano)

MSC:

35B27	Homogenization in context of PDEs; PDEs in media with periodic structure
49L25	Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games
35H20	Subelliptic equations

Keywords:

periodic homogenization; fast oscillating Hamiltonians; viscosity solutions