Energy Decay for the Cauchy Problem of the Linear Wave Equation of Variable Coefficients with Dissipation |
| |
Authors: | Pengfei YAO |
| |
Affiliation: | Key Laboratory of Control and Systems,Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China |
| |
Abstract: | Decay of the energy for the Cauchy problem of the wave equation of variable coefficients with a dissipation is considered. It is shown that whether a dissipation can be localized near infinity depends on the curvature properties of a Riemannian metric given by the variable coefficients. In particular, some criteria on curvature of the Riemannian manifold for a dissipation to be localized are given. |
| |
Keywords: | Wave equation Riemannian metric Localized dissipation near infinity |
本文献已被 维普 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学年刊B辑(英文版)》下载全文 |