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 a scala conservation law with quadratic flux function and bounded measurable source term.
Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation
CARAVENNA, LAURA;
2015
Abstract
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 a scala conservation law with quadratic flux function and bounded measurable source term.
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IntinsicLipschitz.pdf
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