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arXiv · 0706.0350

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

Jean-Francois Bony·Dietrich Hafner
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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 if we permit a logarithmic derivative loss in the angular directions and exponentially if we permit an small derivative loss in the angular directions.

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Jean-Francois Bony, Dietrich Hafner. 2007-06-04. Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric. https://arxiv.org/abs/0706.0350

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