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The IVP for the Benjamin-Ono equation in weighted Sobolev spaces
Fonseca, German, Ponce, Gustavo
Sparad:
| Titel | The IVP for the Benjamin-Ono equation in weighted Sobolev spaces |
|---|---|
| Författarna | Fonseca, German, Ponce, Gustavo |
| Utgivningsår |
2010
|
| Beskrivning |
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 $Z_{s,r}=H^s(\R)\cap L^2(|x|^{2r}dx)$, $s\in\R, \,s\geq 1$ and $s\geq r$. We also prove some unique continuation properties of the solution flow in these spaces. In particular, these continuation principles demostrate that our persistence properties are sharp.
Comment: 21 pages |
| Dokumenttyp |
Working Paper
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| Ämnestermer |
