| Title | Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators |
| Publication Type | Journal Article |
| Year of Publication | 2017 |
| Authors | Barilari, D, Paoli, E |
| Journal | Nonlinear Analysis |
| Volume | 164 |
| Pagination | 118 - 134 |
| ISSN | 0362-546X |
| Keywords | Curvature; Hypoelliptic heat equation; Small time asymptotics |
| 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. |
| URL | http://www.sciencedirect.com/science/article/pii/S0362546X17302298 |
| DOI | 10.1016/j.na.2017.09.002 |
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