| 一类含对流项热传导方程的热源识别反问题 |
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| 引用本文： | 杨帆,李敦刚.一类含对流项热传导方程的热源识别反问题[J].甘肃科学学报,2009,21(2):41-43. |
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| 作者姓名： | 杨帆 李敦刚 |
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| 作者单位： | 兰州理工大学,应用数学系,甘肃,兰州,730050 |
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| 基金项目： | 兰州理工大学科研基金 |
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| 摘 要： | 探讨了由给定的附加条件识别含对流项的一维热传导方程的只含有空间变量的热源识别反问题．这类问题是不适定的，即问题的解不连续依赖于测量数据．通过利用Fourier截断正则化方法，得到了问题的一个正则近似解，并且给出了正则解和精确解之间具有Holder型的误差估计．
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| 关 键 词： | 对流项 热源 正则化 Fourier截断 |
The Inverse Problem for Identification of Heat Source for the Heat Equation with Convection Term |
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| YANG Fan,LI Dun-gang.The Inverse Problem for Identification of Heat Source for the Heat Equation with Convection Term[J].Journal of Gansu Sciences,2009,21(2):41-43. |
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| Authors: | YANG Fan LI Dun-gang |
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| Institution: | YANG Fan,LI Dun-gang(Department of Applied Mathematics,Lanzhou University of Science and Technology,Lanzhou 730050,China) |
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| Abstract: | The inverse problem of determining a spacewise dependent heat source in one-dimensional heat equation with convection term where data is given at some fixed time. This problem is ill-posed,i, e. , the solution does not depend continuously on the data. A regularized solution of the inverse problem will be obtained by Fourier truncation method. For the regularized solution,we obtain the Holder type stability estimate between the regularized solution and the exact solution. |
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| Keywords: | convection term heat source regularization fourier truncation |
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