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

Zihua Guo; Yiquan Lin; Luc Molinet

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

Analysis of PDEs 2013-07-12 v2

Authors: Zihua Guo , Yiquan Lin , Luc Molinet

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.

Keywords

modified Benjamin-Ono equation well-posedness energy space periodic gauge transform X^{s,b} analysis

Cite

@article{arxiv.1302.5456,
  title  = {Well-posedness in energy space for the periodic modified Benjamin-Ono equation},
  author = {Zihua Guo and Yiquan Lin and Luc Molinet},
  journal= {arXiv preprint arXiv:1302.5456},
  year   = {2013}
}

Comments

26 pages, 0 figure. Title changed, introduction modified

Related papers

View all related →