Diffusion phenomenon for second order linear evolution equations
Diffusion phenomenon for second order linear evolution equations
复制标题
DOI：
10.4064/sm158-2-4
复制
发表时间：
2003
影响因子：
0.8
通讯作者：
R. Ikehata;K. Nishihara
中科院分区：
文献类型：
--
作者：
R. Ikehata;K. Nishihara
给出了Hilbert空间中二阶线性发展方程扩散现象的抽象理论。为了推导扩散现象，应用了池田-松山[5]开发的一种新装置。文中还给出了无界区域上阻尼线性波动方程的几个应用。
We present an abstract theory of the diffusion phenomenon for second order linear evolution equations in a Hilbert space. To derive the diffusion phenomenon, a new device developed in Ikehata–Matsuyama [5] is applied. Several applications to damped linear wave equations in unbounded domains are also given.