Long-time existence for semilinear wave equations on asymptotically flat space-times
Long-time existence for semilinear wave equations on asymptotically flat space-times
We study the long-time existence of solutions to nonlinear wave equations with power-type nonlinearity (of order p) and small data, on a large class of (1+n)-dimensional nonstationary asymptotically flat backgrounds, which include the Schwarzschild and Kerr black hole space-times. Under the assumption that uniform energy bounds and a weak form …