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

Ionescu, Alexandru; Kenig, Carlos

doi:10.1090/S0894-0347-06-00551-0

Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
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by Alexandru D. Ionescu and Carlos E. Kenig

J. Amer. Math. Soc. 20 (2007), 753-798

DOI: https://doi.org/10.1090/S0894-0347-06-00551-0

Published electronically: October 24, 2006

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Abstract:

We prove that the Benjamin–Ono initial-value problem is globally well-posed in the Banach spaces $H^\sigma _r(\mathbb {R})$, $\sigma \geq 0$, of real-valued Sobolev functions.

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