Differential games and Hamilton-Jacobi equations in the Heisenberg group

Andrea Calogero

The purpose of this work is twofold. First we study the solutions of a Hamilton-Jacobi equation of the form $u_t(t,x)+\mathcal{H}(t,x,{\nabla }_{H}u(t,x))=0$, where ${\nabla }_{H}u$ repres…