摘要
本文讨论一类线性和半线性抛物型方程带有附加条件∞0u(x ,t)dx =h(t)或其导函数某点值为已知的若干反问题 ,证明了这些反问题解的存在性和唯一性 。
This paper discusses some inverse problems of a class of linear and semi linear parabolic equation in condition with ∞0u(x,t)dx=h(t) or knowing the value of the point of its derivative function,proves the existence and uniqueness of the solution of these inverse problems and gives an accurate formula of the unknown parameter.
出处
《信息工程大学学报》
2001年第4期14-16,共3页
Journal of Information Engineering University
关键词
反问题
存在唯一性
线性抛物型方程
非线性抛物型方程
parabolic equation
linear and semi linear
inverse problem
existence and uniqueness of the solution
