论文标题
强烈抑制的波动方程，具有对数 - 拉普拉斯的质量术语
Strongly damped wave equations with mass-like terms of the logarithmic-Laplacian
论文作者
论文摘要
我们考虑具有对数质量质量术语的强烈阻尼的波动方程，并带有参数$θ\ in（0; 1] $。这项研究是一系列波动方程的一部分，该方程是由Charão-ikehata [6] [6]（Charão-d'abbicco-kikhata）在[5]中考虑的[5]在[5]中所考虑的[5]，这是根据[5]在[5]中启动的。 [26]对于（0,1/2）$的小参数$θ\。由增长率表示。
We consider strongly damped wave equations with logarithmic mass-like terms with a parameter $θ\in (0; 1]$. This research is a part of a series of wave equations that was initiated by Charão-Ikehata [6], Charão-D'Abbicco-Ikehata considered in [5] depending on a parameter $θ\in (1/2,1)$ and Piske- Charão-Ikehata [26] for small parameter $θ\in (0,1/2)$. We derive a leading term (as time goes to infinity) of the solution, and by using it, a growth and a decay property of the solution itself can be precisely studied in terms of L^2-norm. An interesting aspect appears in the case of n = 1, roughly speaking, a small $θ$ produces a diffusive property, and a large $θ$ gives a kind of singularity, expressed by growth rates.
