Calculus of Variations and Geometric Measure Theory

D. Barilari - E. Paoli

Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators

created by barilari on 16 Oct 2015
modified on 26 Oct 2018


Published Paper

Inserted: 16 oct 2015
Last Updated: 26 oct 2018

Journal: Nonlinear Analysis
Pages: 17
Year: 2015


We consider the heat equation associated with a class of second order hypoelliptic H\"{o}rmander operators with constant second order term and linear drift. We describe the possible small time heat kernel expansion 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.