The Wave Equation on Asymptotically Anti de Sitter Black Hole Spacetimes
|
Mon, 13/05 17:00 |
Gustav Holzegel (Imperial College London) |
Partial Differential Equations Seminar  |
Gibson 1st Floor SR |
| The study of wave equations on black hole backgrounds provides important insights for the non-linear stability problem for black holes. I will illustrate this in the context of asymptotically anti de Sitter black holes and present both stability and instability results. In particular, I will outline the main ideas of recent work with J. Smulevici (Paris) establishing a logarithmic decay in time for solutions of the massive wave equation on Kerr-AdS black holes and proving that this slow decay rate is in fact sharp. | |||