The Ivp for the Benjamin-ono Equation in Weighted Sobolev Spaces
نویسندگان
چکیده
We study the initial value problem associated to the BenjaminOno equation. The aim is to establish persistence properties of the solution flow in the weighted Sobolev spaces Zs,r = Hs(R) ∩L2(|x|2rdx), 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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