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arXiv · 1202.3083

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

Francesco Bigolin·Laura Caravenna·Francesco Serra Cassano
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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.

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Francesco Bigolin, Laura Caravenna, Francesco Serra Cassano. 2012-02-14. Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation. https://doi.org/10.1016/j.anihpc.2014.05.001

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