论文标题
在延长的寿命上,用于1D阻尼波方程
On extended lifespan for 1d damped wave equation
论文作者
论文摘要
在此手稿中,在一维情况下,在一维情况下,研究了半连接经典阻尼波方程的解决方案的寿命急剧估算,当时初始位置和速度的总和为$ 0 $ $ 0。特别是在这种情况下显示了寿命的延长。此外,某些全局解决方案的存在是通过直接计算获得的。
In this manuscript, a sharp lifespan estimate of solutions to semilinear classical damped wave equation is investigated in one dimensional case, when the sum of initial position and speed is $0$ pointwisely. Especially, an extension of lifespan is shown in this case. Moreover, existence of some global solutions are obtained by a direct computation.