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

Zihua Guo; Yiquan Lin; Luc Molinet

doi:10.1016/j.jde.2014.01.022

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

Zihua Guo, Yiquan Lin, Luc Molinet

Research output: Contribution to journal › Article › Research › peer-review

9 Citations (Scopus)

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
Pages (from-to)	2778-2806
Number of pages	29
Journal	Journal of Differential Equations
Volume	256
Issue number	8
DOIs	https://doi.org/10.1016/j.jde.2014.01.022
Publication status	Published - 2014
Externally published	Yes

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10.1016/j.jde.2014.01.022

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Cite this

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title = "Well-posedness in energy space for the periodic modified Benjamin-Ono equation",

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.",

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T1 - Well-posedness in energy space for the periodic modified Benjamin-Ono equation

AU - Guo, Zihua

AU - Lin, Yiquan

AU - Molinet, Luc

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

U2 - 10.1016/j.jde.2014.01.022

DO - 10.1016/j.jde.2014.01.022

M3 - Article

SN - 0022-0396

VL - 256

SP - 2778

EP - 2806

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 8

ER -