PDE Seminar (2015/4/13): On an approximate scheme for a distance function of evolving interfaces
 Date

2015413 16:30 
2015413 17:30
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 Nao Hamamuki (Hokkaido University)

 We show that viscosity solutions of a certain HamiltonJacobi equation approximate a distance function of evolving interfaces. A difficulty is that the distance function can be discontinuous with respect to time when the interface disappears. We establish convergence results by introducing a notion of a halfrelaxed limit of solutions from below in time.