Global well-posedness in the energy space for the Benjamin–Ono equation on the circle

被引:1
|
作者
Luc Molinet
机构
[1] Université Paris-Nord,L.A.G.A., Institut Galilée
来源
Mathematische Annalen | 2007年 / 337卷
关键词
Energy Space; Uniform Continuity; Local Existence Result; Negative Frequency Part; Bourgain Space;
D O I
暂无
中图分类号
学科分类号
摘要
We prove that the Benjamin-Ono equation is locally well-posed in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H^{1/2}(\mathbb{T})$$\end{document}. This leads to a global well-posedeness result in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H^{1/2}(\mathbb{T})$$\end{document} thanks to the energy conservation.
引用
收藏
页码:353 / 383
页数:30
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