Estimates of the Green function and the initial-Dirichlet problem for the heat equation in sub-Riemannian spaces

Nicola Garofalo, Isidro H. Munive

In a cylinder $D_T=\Omega \times (0,T)$, where $\Omega \subset {\mathbb{R}}^n$, we examine the relation between the $L$-caloric measure, $d{\omega }^{(x,t)}$, where $L$ is the heat operator associated…