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arXiv · 1302.5456

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

Zihua Guo·Yiquan Lin·Luc Molinet
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Abstract

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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Zihua Guo, Yiquan Lin, Luc Molinet. 2013-02-22. Well-posedness in energy space for the periodic modified Benjamin-Ono equation. https://arxiv.org/abs/1302.5456

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