| 一类确定线性伪抛物型方程边界值的反问题 |
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| 引用本文： | 高常忠,宋惠元. 一类确定线性伪抛物型方程边界值的反问题[J]. 四川师范大学学报(自然科学版), 2004, 27(6): 603-606 |
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| 作者姓名： | 高常忠 宋惠元 |
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| 作者单位： | 信息工程大学,信息工程学院,河南,郑州,450002 |
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| 基金项目： | 四川省教育厅重点科研基金资助项目 |
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| 摘 要： | 讨论了一类线性伪抛物型方程边界值的反问题．首先，应用Reimann函数方法求出了相应正问题的形式解，然后根据附加条件将反问题转化成求解第二类Voherra积分方程的问题，从而证明了反问题边界函数的存在唯一性．
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| 关 键 词： | 反问题 伪抛物型方程 边界值 存在唯一性 |
| 文章编号： | 1001-8395(2004)06-0603-04 |
| 修稿时间： | 2003-12-31 |
A Class of Inverse Problems of Determining the Unknown Boundary Data for a Linear Pseudoparabolic Equation |
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| GAO Chang-zhong,SONG Hui-yuan. A Class of Inverse Problems of Determining the Unknown Boundary Data for a Linear Pseudoparabolic Equation[J]. Journal of Sichuan Normal University(Natural Science), 2004, 27(6): 603-606 |
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| Authors: | GAO Chang-zhong SONG Hui-yuan |
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| Abstract: | This paper deals with a class of inverse problems of determining the unknown boundary data for a linear pseudoparabolic equation. Firstly, Riemann function method is used to work out the general representation of the inverse problem. Then the inverse problem is reduced to a problem of solving a Volterra integral equation of the second kind by additional condition. Finally, the existence and uniqueness of the unknown boundary data are verified. |
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| Keywords: | Inverse problem Pseudoparabolic equation Boundary data existence and uniqueness |
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