Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation
Differential Geometry
2015-10-14 v2 Analysis of PDEs
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 \phi_y+ [\phi^{2}/2]_t=w, where w is a bounded function depending on \phi.
Keywords
Cite
@article{arxiv.1202.3083,
title = {Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation},
author = {Francesco Bigolin and Laura Caravenna and Francesco Serra Cassano},
journal= {arXiv preprint arXiv:1202.3083},
year = {2015}
}