Asymptotic profiles for a wave equation with parameter-dependent logarithmic damping
Asymptotic profiles for a wave equation with parameter-dependent logarithmic damping
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具有参数相关对数阻尼的波动方程的渐近轮廓
DOI：
10.1002/mma.7671
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发表时间：
2021
影响因子：
2.9
通讯作者：
Ryo Ikehata
中科院分区：
文献类型：
--
作者：
Ruy Coimbra Charao;Marcello D'Abbicco;Ryo Ikehata
我们研究了一个具有对数阻尼的非局部波动方程，与经常研究的强阻尼情况相比，它在低频区相当弱。我们考虑了Rn中该模型的Cauchy问题，研究了其解和总能量ast→∞在L2意义下的渐近分布和最优估计.在这种情况下，关于超几何函数的一些结果是有用的。
We study a nonlocal wave equation with logarithmic damping, which is rather weak in the low‐frequency zone as compared with frequently studied strong damping case. We consider the Cauchy problem for this model inRn, and we study the asymptotic profile and optimal estimates of the solutions and the total energy ast→∞inL2sense. In that case, some results on hypergeometric functions are useful.