Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation

Abstract

In this paper we provide a characterization of intrinsic Lipschitz graphs in the sub-Riemannian Heisenberg groups in terms of their distributional gradients. Moreover, we prove the equivalence of different notions of continuous weak solutions to the equation ϕ_y+ [ϕ^{2}/2]_t=w, where w is a bounded function depending on ϕ.

Cited by in corpus (3)

• Lipschitz graphs and currents in Heisenberg groups
• Eulerian, Lagrangian and broad continuous solutions to a balance law with non convex flux II
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