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Volterra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.
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.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
2004年第6期603-606,共4页
Journal of Sichuan Normal University（Natural Science）
关键词
反问题
伪抛物型方程
边界值
存在唯一性
Inverse problem
Pseudoparabolic equation
Boundary data
existence and uniqueness
