一维半线性双曲型方程未知源的反问题

The Inverse Problem of One—dimensional Semi—linear Hyperbolic Equaticon with an Unknown Source

1983年J.R.CANNON 与P.DUCHATEAU 在中于半无界域上讨论了方程u_(?)-u_(?)=s(u)中确定未知源s(u)的反问题.本文用特征线方法在有界域上给出了上述反问题解的存在唯一性.

In 1983,J.R.CANNON and P.DUCHATEAU discussed the inverseproblem of the equation U_(?)-U_(xx)=S(U)determining the unknown source S(u)in the semi-unbounded demain in^([1]).In this paper,we use the method of char-acteristic curves in the bounded domain to give the existence and uniqueness of thesolution for the above inverse problem.