| 双曲型方程解的能量估计及其应用 |
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| 引用本文： | 赵天玉,曹静.双曲型方程解的能量估计及其应用[J].长江大学学报,2007,4(4):17-20. |
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| 作者姓名： | 赵天玉 曹静 |
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| 作者单位： | 长江大学信息与数学学院,湖北,荆州,434023;长江大学信息与数学学院,湖北,荆州,434023 |
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| 摘 要： | 数学物理方程在科学实践和工程技术中有广泛的应用。研究了n维双曲型方程解的能量估计,得到了既有理论意义又有应用价值的能量不等式。对双曲型方程的典型代表——波动方程,应用能量不等式,证明了其初边值问题解的唯一性和稳定性。
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| 关 键 词： | 双曲型方程 能量估计 初边值问题 稳定性 唯一性 |
| 文章编号： | 1673-1409（2007）04-N017-04 |
| 收稿时间： | 2007-08-27 |
Energy Estimation of Solution to Hyperbolic Equation and Its Application |
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| ZHAO Tian-yu,CAO Jing.Energy Estimation of Solution to Hyperbolic Equation and Its Application[J].Journal of Yangtze University,2007,4(4):17-20. |
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| Authors: | ZHAO Tian-yu CAO Jing |
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| Abstract: | Mathematical-physical equations had extensive applications in science and engineering.The thesis studied the energy estimates of solution to n dimensional hyperbolic equation,and got an energy inequality,which contained both theories and application.For wave equation-typical model of hyperbolic equation,it is proved that its solution to mixed initial boundary value problem is unique and stable by applying energy inequality. |
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| Keywords: | hyperbolic equation energy estimation mixed initial boundary value problem stability uniqueness |
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