数学
波动方程
边界(拓扑)
领域(数学分析)
数学分析
边值问题
能量(信号处理)
统计
出处
期刊:Siam Journal on Control and Optimization
[Society for Industrial and Applied Mathematics]
日期:1981-01-01
卷期号:19 (1): 106-113
被引量:135
摘要
We study the energy decay rates of the wave equation in a domain where boundary damping is present. We generalize the geometrical conditions obtained earlier in (J. Math. Purer Appl., 58 (1979), pp. 249–273) by using some more general multipliers of Strauss (Comm. Pure Appl. Math., 28 (1975), pp. 265–278). The interaction between distributed damping and boundary damping is discussed. A regulator problem is also formally discussed by the synthesis method.
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