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

被引：7

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.

引用

页数：38

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