Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2

Gioacchino Antonelli, Daniela Di Donato, Sebastiano Don

We prove that in arbitrary Carnot groups $\mathbb{G}$ of step 2, with a splitting $\mathbb{G}=\mathbb{W}\cdot \mathbb{L}$ with $\mathbb{L}$ one-dimensional, the graph of a continuous fun…