Renormalization of contact vector fields with horizontal Sobolev regularity in Heisenberg groups

Luigi Ambrosio, Gianluca Somma, Simone Verzellesi +1

In this paper we obtain the well-posedness of the transport and continuity equations in the Heisenberg groups ${\mathbb{H}}^n$ for a class of contact vector fields $\mathbf{b}$, under…