| 热传导方程反问题的存在性 |
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| 引用本文： | 田立平. 热传导方程反问题的存在性[J]. 河北理工学院学报, 1994, 0(1) |
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| 作者姓名： | 田立平 |
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| 摘 要： | 讨论了有源函数的热传导方程ｕｔ—△ｕ＋ｑ（Ｘ）ｕ＝ｆ（Ｘ，ｔ）ｕ（Ｘ，０）＝ｇ（Ｘ）其中ｑ（Ｘ）为未知函数，在附加条件ｕ（ｘ，Ｔ）＝ｈ（ｘ）下反问题（ｕ，ｑ）的存在性。用Ｇａｌｅｒｋｉｎ逼近法和拓扑度理论得出了反问题的存在性定理。
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| 关 键 词： | 反问题；极值原理；Galerkin逼近；拓扑度；Soboler嵌入 |
ON THE EXISTENCE OF THE INVERSE PROBLEM FOR A HEAT CONDUCTION EQUATION |
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| Tian Li ping. ON THE EXISTENCE OF THE INVERSE PROBLEM FOR A HEAT CONDUCTION EQUATION[J]. Journal of Hebei Institute of Technology, 1994, 0(1) |
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| Authors: | Tian Li ping |
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| Affiliation: | Basic Course Department |
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| Abstract: | In this paper, the existence of the inverse problem for the following heat conduction problem with a source function under the condition of u(x, T)= h (x) is studied, where q (x) is an unknown function. An ekistence theorem of inverse problem is given by the Galerkin approximation method and the theory of toplogical degree. |
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| Keywords: | Inverse Problem Extremum Principle Galerkin Approximation Topological Degree sSobolev Embeding |
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