On the Cauchy problem 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 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.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Nonlinear Mathematical Physics|
|Publication status||Published - 2003|