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

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

2012-02-14

arxiv.org/abs/1202.3083v1

Mathematics

Differential Geometry

Scientific paper

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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