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
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.