Well-posedness in energy space for the periodic modified Benjamin-Ono equation

preprint2013arXivOpen access

We prove that the periodic modified Benjamin-Ono equation is locally well-posed in the energy space $H^{1/2}$ . This ensures the global well-posedness in the defocusing case. The proof is based on an $X^{s,b}$ analysis of the system after gauge transform.

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Well-posedness in energy space for the periodic modified Benjamin-Ono equation

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