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

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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Bibliographic Details
Published inarXiv.org
Main Authors Guo, Zihua, Lin, Yiquan, Molinet, Luc
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.07.2013
Subjects
Defocusing
Well posed problems
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Summary: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.
ISSN:2331-8422