Movement of time-delayed hot spots in Euclidean space
Movement of time-delayed hot spots in Euclidean space
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DOI：
10.1007/s00209-016-1735-5
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发表时间：
2016-02
影响因子：
0.8
通讯作者：
S. Sakata;Yuta Wakasugi
中科院分区：
文献类型：
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作者：
S. Sakata;Yuta Wakasugi
我们研究了阻尼波动方程柯西问题解的形状。特别是，我们研究了解决方案的空间最大化器的存在、位置和数量。研究阻尼波动方程解的形状，我们将解的分解形式准备为热部分和波部分。此外，作为其另一个应用，我们给出了解决方案的估计。
We investigate the shape of the solution of the Cauchy problem for the damped wave equation. In particular, we study the existence, location and number of spatial maximizers of the solution. Studying the shape of the solution of the damped wave equation, we prepare a decomposed form of the solution into the heat part and the wave part. Moreover, as its another application, we give-estimates of the solution.