Well-posedness, global solutions and blowup phenomena for a nonlinearly dispersive wave equation
Research output: Contribution to journal › Article
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.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Evolution Equations|
|Publication status||Published - 2004|