Global well-posedness of the Benjamin-Ono equation in low-regularity spaces

arxiv: math/0508632 · v1 · submitted 2005-08-31 · 🧮 math.AP · math.CA

Alexandru Ionescu , Carlos Kenig This is my paper

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keywords benjamin-onosigmaspacesequationglobalgloballyinitiallow-regularity

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We prove that the Benjamin-Ono initial value problem is globally well-posed in the Sobolev spaces $H^\sigma_r$, $\sigma\geq 0$.

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