Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024551 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 17 Pages |
Abstract
We consider the heat equation associated with a class of second order hypoelliptic Hörmander operators with constant second order term and linear drift. We completely describe the small time heat kernel expansions on the diagonal giving a geometric characterization of the coefficients in terms of the divergence of the drift field and the curvature-like invariants of the optimal control problem associated with the diffusion operator.
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Authors
Davide Barilari, Elisa Paoli,