Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric
Language
en
Article de revue
This item was published in
Communications in Mathematical Physics. 2008, vol. 282, n° 3, p. 697-719
Springer Verlag
English Abstract
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 resonance. The error term decays polynomially ...Read more >
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 resonance. The error term decays polynomially if we permit a logarithmic derivative loss in the angular directions and exponentially if we permit an small derivative loss in the angular directions.Read less <
ANR Project
Equations hyperboliques dans des espaces-temps de la relativité générale : diffusion et résonances. - ANR-05-JCJC-0087
Origin
Hal imported