Abstract We are interested in the upper bound of the lifespan of solutions of semilinear wave equations. For the sub-critical case in high dimensions, it has been believed that the basic tools of its analysis are Kato's lemma on ordinary differential inequalities and the rescaling argument in the functional method. But there is a small lack of delicate analysis and no published paper about this. Here we give a simple alternative proof by means of improved Kato's lemma without any rescaling argument.
|Number of pages||14|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2015 Jun 13|
- Ordinary differential inequality
- Semilinear wave equation
ASJC Scopus subject areas
- Applied Mathematics