| 热传导方程初始源项决定的条件稳定性 |
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| 引用本文： | 饶瑞昌,邱淑芳,徐定华.热传导方程初始源项决定的条件稳定性[J].宁夏大学学报(自然科学版),2000,21(1):50-52. |
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| 作者姓名： | 饶瑞昌 邱淑芳 徐定华 |
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| 作者单位： | 华东地质学院基础部,江西临川,344000 |
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| 基金项目： | 江西省自然科学基金资助项目!(98110 2 ) |
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| 摘 要： | 讨论一有界区域Ω Rr(r≥ 2 )上的热传导方程的初边值问题 u t(x ,t) =Δu(x ,t) , x∈Ω ,0
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| 关 键 词： | 条件稳定性 热传导方程 双正交函数 初始热源 |
Conditional stability in determination of the initial source for heat equations |
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| RAO Rui-chang,QIU Shu-fang,XU Ding-hua.Conditional stability in determination of the initial source for heat equations[J].Journal of Ningxia University(Natural Science Edition),2000,21(1):50-52. |
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| Authors: | RAO Rui-chang QIU Shu-fang XU Ding-hua |
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| Abstract: | In this paper an inverse problem of determing an initial heat source for parabolic equations is discussed. The uniqueness and conditional stability are derived by the exact controllability theory. |
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| Keywords: | conditional stability inverse parabolic problem ill posed problem exact controllability method boundary observation |
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