Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle

被引：8
|
作者：
Schippa, Robert [1 ]
机构：
[1] Univ Bielefeld, Fak Math, Postfach 10 01 31, D-33501 Bielefeld, Germany
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 196卷 / 196期
关键词：
Dispersive equations; Benjamin-Ono equation; Short-time Fourier restriction norm method; Modified energies; 5TH-ORDER KDV EQUATION; INITIAL-VALUE PROBLEM; CAUCHY-PROBLEM; L-2; REGULARITY; WAVES;
D O I：
10.1016/j.na.2020.111777
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
New local well-posedness results for dispersion generalized Benjamin-Ono equations are proved in the periodic case. The family of equations under consideration links the Benjamin-Ono and Korteweg-de Vries equation. For sufficiently strong dispersion global well-posedness in L-2(T) is derived. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：38
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