Abstract
We prove existence and uniqueness of solutions for the Benjamin–Ono equation with data in \(H^{s}({\mathbb{R}})\) , s > 1/4. Moreover, the flow is hölder continuous in weaker topologies.
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Burq, N., Planchon, F. On well-posedness for the Benjamin–Ono equation. Math. Ann. 340, 497–542 (2008). https://doi.org/10.1007/s00208-007-0150-y
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DOI: https://doi.org/10.1007/s00208-007-0150-y