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Free decay of solutions to wave equations on a curved background

Serge Alinhac

2005Bulletin de la Société mathématique de FranceMathematics被引 8开放获取

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摘要

We investigate for which metric g (close to the standard metric g 0 ) the solutions of the corresponding d'Alembertian behave like free solutions of the standard wave equation. We give rather weak (i.e., non integrable) decay conditions on gg 0 ; in particular, gg 0 decays like t -1 2 - along wave cones.

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Serge Alinhac. Free decay of solutions to wave equations on a curved background[J]. Bulletin de la Société mathématique de France, 2005.

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DOI:https://doi.org/10.24033/bsmf.2493

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