Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591014 | Journal of Functional Analysis | 2011 | 24 Pages |
Abstract
We study the initial value problem associated to the Benjamin–Ono equation. The aim is to establish persistence properties of the solution flow in the weighted Sobolev spaces , s∈R, s⩾1 and s⩾r. We also prove some unique continuation properties of the solution flow in these spaces. In particular, these continuation principles demonstrate that our persistence properties are sharp.
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