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

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dc.creatorBony, Jean-Francois
dc.creatorHafner, Dietrich
dc.date2007-06-04
dc.date.accessioned2026-07-07T08:04:00Z
dc.date.available2026-07-07T08:04:00Z
dc.descriptionWe 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.
dc.description22 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0706.0350
dc.identifierhttp://arxiv.org/abs/0706.0350
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129792
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35B34; 35P25; 35Q75; 83C57
dc.titleDecay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric
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