We present a new general method for proving global decay of energy through a suitable spacetime foliation, as well as pointwise decay, starting from an integrated local energy decay estimate. The method is quite robust, requiring only physical space techniques, and circumvents use of multipliers or commutators with weights growing in t. In particular, the method applies to a wide class of perturbations of Minkowski space as well as to Schwarzschild and Kerr black hole exteriors.
|Title of host publication
|XVIth International Congress on Mathematical Physics
|World Scientific Publishing Co.
|Number of pages
|Published - Jan 1 2010
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Physics and Astronomy
- Black holes
- General relativity
- The wave equation