ESAIM: Control, Optimisation and Calculus of Variations

Table of Contents - January 2007 - Volume 13 - Issue01

Research Article

Homogenization of Hamilton-Jacobi equations in Carnot Groups

Stroffolini, Bianca

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

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.

(Received March 16 2005)

(Online publication February 14 2007)

Key Words:

  • Homogenization;
  • Carnot Groups;
  • Hamilton-Jacobi.

Mathematics Subject Classification:

  • 35B27;
  • 35H05
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