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.
机构:
Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
Beijing Int Ctr Math Res, Beijing 100871, Peoples R ChinaPeking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
Guo, Zihua
Lin, Yiquan
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机构:
Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
Beijing Int Ctr Math Res, Beijing 100871, Peoples R ChinaPeking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
Lin, Yiquan
Molinet, Luc
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机构:
Univ Tours, Federat Denis Poisson CNRS, F-37200 Tours, FrancePeking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
机构:
Department of Mathematics, University of California, Los Angeles,CA,90095, United StatesDepartment of Mathematics, University of California, Los Angeles,CA,90095, United States
Killip, Rowan
Laurens, Thierry
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机构:
Department of Mathematics, University of California, Los Angeles,CA,90095, United StatesDepartment of Mathematics, University of California, Los Angeles,CA,90095, United States
Laurens, Thierry
Vişan, Monica
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机构:
Department of Mathematics, University of California, Los Angeles,CA,90095, United StatesDepartment of Mathematics, University of California, Los Angeles,CA,90095, United States
机构:
Inst Appl Phys & Computat Math, Beijing 100088, Peoples R ChinaInst Appl Phys & Computat Math, Beijing 100088, Peoples R China
Chen, Wengu
Wei, Suqing
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机构:
China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R ChinaInst Appl Phys & Computat Math, Beijing 100088, Peoples R China
Wei, Suqing
Li, Junfeng
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机构:
Beijing Normal Univ, Sch Math Sci, Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R ChinaInst Appl Phys & Computat Math, Beijing 100088, Peoples R China