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

被引：0

作者：

Zhaoyang Yin

机构：

[1] Zhongshan University,Department of Mathematics

[2] Lund University,Department of Mathematics

来源：

Journal of Evolution Equations | 2004年 / 4卷

关键词：

35G25; 35L05.; Local well-posedness; global solutions; blowup phenomena; a sharp estimate of existence time; a nonlinearly dispersive wave equation.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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 infinite 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.

引用

页码：391 / 419

页数：28

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