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arXiv:0706.0350 [math.AP]AbstractReferencesReviewsResources

Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric

Jean-Francois Bony, Dietrich Hafner

Published 2007-06-04Version 1

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.

Comments: 22 pages, 5 figures
Categories: math.AP, math-ph, math.MP
Subjects: 35B34, 35P25, 35Q75, 83C57
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