Speaker
Olivier Ley
(INSA de Rennes)
Description
The aim of this talk is to present results concerning nonlinear degenerate elliptic partial differential equations (PDEs) on networks, with Kirchhoff conditions at the vertices. While elliptic PDEs on networks have long been known, Hamilton-Jacobi equations on networks (the case of totally degenerate PDEs) have been the subject of extensive study over the past decade. In recent work conducted with Guy Barles (Tours) and Erwin Topp (Rio), we obtained results for the general case of degenerate second-order elliptic PDEs.