On diffusion phenomena for the linear wave equation with space-dependent damping
On diffusion phenomena for the linear wave equation with space-dependent damping
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DOI：
10.1142/s0219891614500246
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发表时间：
2013-09
影响因子：
0.7
通讯作者：
Yuta Wakasugi
中科院分区：
文献类型：
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作者：
Yuta Wakasugi
我们研究了与具有空间相关阻尼的线性波动方程相关的扩散现象，并证明了解的渐近轮廓由相关热方程的解在 L2 意义上表示。
We study the diffusion phenomenon associated with the linear wave equation with space-dependent damping, and give a proof that the asymptotic profile of solutions is represented by solutions to the associated heat equation, in the L2 sense.