Seminar series
Date
Wed, 05 Jun 2013
Time
17:00 -
18:00
Location
Gibson 1st Floor SR
Speaker
Pieter Blue
Organisation
University of Edinburgh
The Einstein equation from general relativity is a
quasilinear hyperbolic, geometric PDE (when viewed in an appropriate
coordinate system) for a manifold. A particularly interesting set of
known, exact solutions describe black holes. The wave and Maxwell
equations on these manifolds are models for perturbations of the known
solutions and have attracted a significant amount of attention in the
last decade. Key estimates are conservation of energy and Morawetz (or
integrated local energy) estimates. These can be proved using both
Fourier analytic methods and more geometric methods. The main focus of
the talk will be on decay estimates for solutions of the Maxwell
equation outside a slowly rotating Kerr black hole.