Laboratoire de Mathématiques Raphaël Salem

UMR 6085 CNRS - Université de Rouen Normandie

The study of diffusion problems with sign changing coefficients increased recently because these problems appear in several areas of physics, for example inelectromagnetism. Thus some mathematical and  numerical investigations have been performed for domains of the plane or of the space. Similar questions were recently considered on graphs. Hence the goal of this talk is to present some results on arbitrary compact graphs with Kirchhoff interior vertex conditions and, as much as possible, variable coefficients.