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- W4287978449 abstract "We study the well-posedness in weighted Sobolev spaces, for the initial value problem (IVP) associated with the dissipative Benjamin-Ono (dBO) equation. We establish persistence properties of the solution flow in the weighted Sobolev spaces $z_{s,r}=H^s(R)cap L^2(|x|^{2r}dx)$, $sgeq r>0$. We also prove some unique continuation properties in these spaces. In particular, such results of unique continuation show that our results of well posedness are sharp." @default.
- W4287978449 created "2022-07-26" @default.
- W4287978449 creator A5060175868 @default.
- W4287978449 date "2019-12-30" @default.
- W4287978449 modified "2023-09-29" @default.
- W4287978449 title "The Cauchy Problem for Dissipative Benjamin-Ono equation in Weighted Sobolev spaces" @default.
- W4287978449 doi "https://doi.org/10.48550/arxiv.1912.12943" @default.
- W4287978449 hasPublicationYear "2019" @default.
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