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- W848893485 abstract "By proving a weighted contraction estimate in uniformly local Sobolev spaces for the flow of gravity water waves, we show that this nonlocal system is in fact pseudo-local in the following sense: locally in time, the dynamic far away from a given bounded region has a small effect on that region (again, in a sense that we will make precise in this article). Our estimate on the flow also implies a new spatial decay property of the waves. To prove this result, we establish a paradifferential calculus theory in uniformly local Sobolev spaces with weights." @default.
- W848893485 created "2016-06-24" @default.
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- W848893485 date "2016-01-01" @default.
- W848893485 modified "2023-09-27" @default.
- W848893485 title "A Pseudo-local Property of Gravity Water Waves System" @default.
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- W848893485 doi "https://doi.org/10.1137/15m1029217" @default.
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