Local well-posedness and blow-up for a family of U(1)-invariant peakon equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:275

Article

Anco, Stephen¹  He, Huijun¹  Qiao, Zhijun² 

[1] Brock Univ, Dept Math & Stat, St Catharines, ON L2S 3A1, Canada

[2] Univ Texas Rio Grande Valley UTRGV, Sch Math & Stat Sci, Edinburg, TX 78539 USA

关键词: U (1)-invariant;    Peakon;    NLS hierarchy;    Local well-posedness;    L-1 conservation;    Blow-up;   

DOI  :  10.1016/j.jde.2020.11.008

来源: Elsevier

【 摘 要 】

The Cauchy problem for a unified family of integrable U(1)-invariant peakon equations from the NLS hierarchy is studied. As main results, local well-posedness is proved in Besov spaces, and blow-up is established through use of an L-1 conservation law. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free