Joint works on Continuous solutions to a balance equation

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• Dr Laura Caravenna, University of Oxford
• Tuesday 17 April 2012, 16:30-17:30
• MR2.

If you have a question about this talk, please contact CCA.

The talk is concerned with continuous solutions to a scalar, 1D balance law having bounded source term. We will discuss the correspondence between Eulerian and Lagrangian formulation, mostly focusing on the simple equation u_t+[u2/2]_x=g with g bounded and assuming u continuous but neither Sobolev nor BV. This is strictly related to a characterization of intrinsic Lipschitz graphs in the sub-Riemannian Heisenberg groups, after the characterization which had already been given of intrinsic regular graphs. The talk will be mainly based on collaborations with G. Alberti, S. Bianchini, F. Bigolin, F. Serra Cassano.

This talk is part of the Oxbridge PDE conference series.

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