Abstract
We prove that the periodic modified Benjamin-Ono equation is locally well-posed in the energy space H1/2. This ensures the global well-posedness in the defocusing case. The proof is based on an Xs,b analysis of the system after a gauge transform.
Original language | English |
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Pages (from-to) | 2778-2806 |
Number of pages | 29 |
Journal | Journal of Differential Equations |
Volume | 256 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2014 |
Externally published | Yes |