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发表时间:2019-01-14 阅读次数:423次
报告题目: Lifespan estimates of solutions of semilinear wave equationswith the scale invariant damping in one space dimension
报 告 人:Prof. Hiroyuki Takamura
报告人所在单位:Tohoku University
报告日期:2019-01-14 星期一
报告时间:14:00-15:00
报告地点:光华东主楼1501
  
报告摘要:

Recently the critical constant of time-decaying damping in the scale invariant case is conjectured. Also it has been expected that the lifespan estimate is the same as associated semilinear heat equations if the constant is in “heat-like” domain. In this talk, I would like to point out that this is not true if the total integral of the initial position and speed vanish. In such a case, we have a new type of the lifespan estimates which is closely related to the non-damped case with a shifted dimension. This result is a joint work with M. Kato and K. Wakasa.

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本年度学院报告总序号:2

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