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Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
Alexandru Ionescu, Carlos Kenig
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Source: Crossref
Published: Oct 24, 2006
DOI: 10.1090/s0894-0347-06-00551-0
Open original source ↗Source abstract
We prove that the Benjamin–Ono initial-value problem is globally well-posed in the Banach spaces H r σ ( R ) H^\sigma _r(\mathbb {R}) , σ ≥ 0 \sigma \geq 0 , of real-valued Sobolev functions.
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