Geodesic
Homogenization of Hamilton-Jacobi equations in Carnot groups
ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 1, pp. 107-119

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We study an homogenization problem for Hamilton-Jacobi equations in the geometry of Carnot Groups. The tiling and the corresponding notion of periodicity are compatible with the dilatations of the Group and use the Lie bracket generating property.

DOI : 10.1051/cocv:2007005
Classification : 35B27, 35H05
Keywords: homogenization, Carnot groups, Hamilton-Jacobi 
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     title = {Homogenization of {Hamilton-Jacobi} equations in {Carnot} groups},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {107--119},
     publisher = {EDP-Sciences},
     volume = {13},
     number = {1},
     year = {2007},
     doi = {10.1051/cocv:2007005},
     mrnumber = {2282104},
     zbl = {1113.35020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007005/}
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Stroffolini, Bianca. Homogenization of Hamilton-Jacobi equations in Carnot groups. ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 1, pp. 107-119. doi: 10.1051/cocv:2007005

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