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math.AP2011
Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case
Jean-Francois Bony, Dietrich Hafner
We show improved local energy decay for the wave equation on asymptotically Euclidean manifolds in odd dimensions in the short range case. The precise decay rate depends on the dec…
math.AP2008★ 1 cited
The semilinear wave equation on asymptotically euclidean manifolds
Jean-Francois Bony, Dietrich Hafner
We consider the quadratically semilinear wave equation on R^d, d>=3, equipped with a Riemannian metric. This metric is non-trapping and approaches the Euclidean metric polynomially…
math.AP2007★ 7 cited
Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric
Jean-Francois Bony, Dietrich Hafner
We describe an expansion of the solution of the wave equation in the De Sitter - Schwarzschild metric in terms of resonances. The main term in the expansion is due to a zero resona…