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A Morawetz inequality for water waves
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 144, Number 3, June 2022
- pp. 607-699
- 10.1353/ajm.2022.0013
- Article
- Additional Information
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Abstract
abstract:
We consider gravity water waves in two space dimensions, with finite or infinite depth. Assuming some uniform scale invariant Sobolev bounds for the solutions, we prove local energy decay (Morawetz) estimates globally in time. Our result is uniform in the infinite depth limit.
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