GEMETHNES erc

Intrinsic \(C^1\) and Lipschitz graphs in the Heisenberg group and continuous solutions of Burgers' equation

Francesco Serra Cassano

(Dip. Mat. Univ. Trento)

Event: ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces

Date: Oct 11, 2011, time: 09:30

Place: Centro De Giorgi, Scuola Normale Superiore

Abstract. We are going to discuss on a characterization of di erent (weak) continuous solutions of Burgers' equation and functions which induce intrinsic \(C^1\) and Lipschitz graphs in the rst Heisenberg group \(H^1 \equiv R^3\), endowed with its standard Sub-Riemanniam metric structure, named also of Carnot-Carathéodory . We will also extend the characterization to higher Heisenberg groups \(H^n \equiv R^{2n+1}\).