Global existence for the periodic dispersive Hunter-Saxton equation

被引：0

作者：

Ye, Weikui ^{[1
]}

Yin, Zhaoyang ^{[1
,2
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] Macau Univ Sci & Technol, Fac Informat Technol, Taipa, Macao, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2020年 / 191卷 / 02期

基金：

中国国家自然科学基金;

关键词：

The periodic dispersive Hunter-Saxton equation; Local well-posedness; The Kato method; Global existence; SHALLOW-WATER EQUATION; CAMASSA-HOLM; WELL-POSEDNESS; WAVE BREAKING; PARTICLE TRAJECTORIES; DISSIPATIVE SOLUTIONS; WEAK SOLUTIONS; SHORT-PULSE; OSTROVSKY; SCATTERING;

D O I：

10.1007/s00605-019-01290-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study an integrable dispersive Hunter-Saxton equation in periodic domain. Firstly, we establish the local well-posedness of the Cauchy problem of the equation in Hs(S),s >= 2, by applying the Kato method. Then, based on a sign-preserve property, we obtain a global existence result for the equation. Moreover, we extend the obtained result to some periodic nonlinear partial differential equations of second order of the general form.

引用

页码：267 / 278

页数：12

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