Well-posedness, global solutions and blowup phenomena for a nonlinearly dispersive wave equation

作者：Yin; ZY

来源：Journal of Evolution Equations, 2004, 4(3): 391-419.

DOI：10.1007/s00028-004-0166-7

• local well-posedness
• global solutions
• blowup phenomena
• a sharp estimate of existence time
• a nonlinearly dispersive wave equation

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

• 出版日期2004
• 单位中山大学