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Homogenization of Hamilton-Jacobi equations in Carnot Groups

Published online by Cambridge University Press:  14 February 2007

Bianca Stroffolini
Bianca Stroffolini*
Affiliation:
Dipartimento di Matematica e Applicazioni Università degli studi di Napoli Federico II Complesso Monte S. Angelo Edificio “T” via Cintia, 80126 Napoli Italy; bstroffo@unina.it
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Abstract

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.

Keywords

HomogenizationCarnot GroupsHamilton-Jacobi.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 13 , Issue 1 , January 2007 , pp. 107 - 119
Copyright
© EDP Sciences, SMAI, 2007

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