| 反抛物问题的H(o)lder型稳定性估计 |
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| 引用本文： | 徐定华,XU Ding-hua.反抛物问题的H(o)lder型稳定性估计[J].上海大学学报(英文版),2000,4(4). |
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| 作者姓名： | 徐定华 XU Ding-hua |
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| 作者单位： | Department of Mathematics, College of Sciences, Shanghai University, Shaughai 200072, China;Department of Computational Sciences and Systematic Engineering, East China Geological Institute, Linchuan 344000, Jiangxi Province, China
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| 基金项目： | 江西省自然科学基金，上海市自然科学基金 |
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| 摘 要： |
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H(o)lder Stability Estimate for an Inverse Parabolic Problem |
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| XU Ding-hua.H(o)lder Stability Estimate for an Inverse Parabolic Problem[J].Journal of Shanghai University(English Edition),2000,4(4). |
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| Authors: | XU Ding-hua |
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| Abstract: | This paper deals with a parabolic system in a multi-dimentional bounded domain Ω Rn with the smooth boundary Ω. We discuss an inverse parabolic problem of determining the indirectly measurable internal heat distribution at any intermediate moment from the heat distribution measurements in arbitrary accessible subdomain ωΩ at some time-interval. Our main result is the Holder stability estimate in the inverse problem and the proof is completed with a Carleman estimate and a eigenfunction expansion for parabolic equations. |
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| Keywords: | inverse parabolic problems heat conductivity equations Holder stability Carleman estimate |
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