Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations

研究成果: Article査読

32 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号10539
ページ(範囲)227-240
ページ数14
ジャーナルNonlinear Analysis, Theory, Methods and Applications
125
DOI
出版ステータスPublished - 2015 6月 13
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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