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Complex-valued solutions of the Benjamin-Ono equation

Alexandru D. Ionescu Carlos E. Kenig
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Abstract

We prove that the Benjamin-Ono initial-value problem is locally well-posed for small, complex-valued data in Sobolev spaces with special low-frequency structure.

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Alexandru D. Ionescu Carlos E. Kenig. 2006-05-08. Complex-valued solutions of the Benjamin-Ono equation. https://arxiv.org/abs/math/0605158

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