On the Cauchy problem for a nonlinearly dispersive wave equation

作者：Yin; ZY

来源：Journal of Nonlinear Mathematical Physics, 2003, 10(1): 10-15.

DOI：10.2991/jnmp.2003.10.1.2

We establish the local well-posedness for a new nonlinearly dispersive wave equation and we show that the equation has solutions that exist for indefinite times as well as solutions which blowup in finite time. Furthermore, we derive an explosion criterion for the equation and we give a sharp estimate from below for the existence time of solutions with smooth initial data.

• 出版日期2003-2
• 单位中山大学