Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2 (Q6072430)

The main result states that a distributional type solution to Burgers' type system \(D^{\varphi} = \omega\) with certain continuous \(\omega\) is actually a broad\(^\ast\) type solution. Technically, the proof is based on the reduction of the statement to free Carnot groups of step 2 with subsequent study of their properties.