论文标题

$ u(1)$ - 不变的pearpeancon方程的本地良好和爆炸

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

论文作者

Anco, Stephen C., He, Huijun, Qiao, Zhijun

论文摘要

研究了NLS层次结构的统一$ u(1)$ - 不变的pearpears方程的统一家庭的问题。作为主要结果,在BESOV空间中证明了当地的良好性,并通过使用$ l^1 $保护法建立了爆炸。

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.

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