一类伪抛物型方程未知源项的存在唯一性  

Class of Inverse Problems of Determining the Unknown Source for the Pseudoparabolic Equation

作　　者：朱文慧[1] 戴锋[1] 高常忠[1] 

机构地区：[1]信息工程大学信息工程学院,河南郑州450002

出　　处：《信息工程大学学报》2008年第1期18-20,共3页Journal of Information Engineering University

摘　　要：讨论了一类伪抛物型方程未知源项的存在性和唯一性问题。首先在假定未知源项函数已知的条件下,通过引入Reimann函数求得了反问题的形式解,然后利用附加条件导出未知函数满足的积分方程式,最终应用积分方程理论给出了该反问题未知源项函数存在性和唯一性的证明。This paper deals with a class of inverse problems of determining the unknown source term for the pseudoparabolic equation. Firstly,it is assumed that the source is known,and by introducing Riemann Function we work out the general representation of the inverse problem. Then the integral equation which unknown source term satisfies from additional condition is derived. We verify the ex- istence and uniqueness of the unknown source term of the pseudoparabolic equation at last.

关 键 词：反问题 伪抛物型方程 未知源项 存在唯一性 

分 类 号：O175.4[理学—数学]