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Asymptotics of periodic subelliptic operators
Journal article   Peer reviewed

Asymptotics of periodic subelliptic operators

Charles J.K Batty, Ola Bratteli, Palle E.T Jørgensen and Derek W Robinson
The Journal of geometric analysis, Vol.5(4), pp.427-443
1995
DOI: 10.1007/BF02921770

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Abstract

We establish that heat diffusion with periodic conductivity is governed by two scales. The small time diffusion is described by the geodesic distance but the large time behaviour is dictated by the distance associated with an homogenized system obtained by a suitable averaging process. Our methods are quite general and apply to diffusion on a stratified Lie group.

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