双曲算子Lq=(~2/t^2-~2/x^2+q(x))的一个系数反问题  

A KIND OF INVERSE PROBLEMS FOR THE HYPERBOLIC OPERATOR L_q=(()~2/()t^2)-(()~2/()x^2)+q(x)

作　　者：陈宏[1] 侯宗义[1] 

机构地区：[1]复旦大学数学研究所

出　　处：《复旦学报（自然科学版）》1993年第4期465-470,共6页Journal of Fudan University：Natural Science

基　　金：国家自然科学基金

摘　　要：讨论双曲算子L_Q=(()~2/()t^2-()~2/()x^2+Q(x))的系数反问题.证明了反问题的解的存在唯一性,并给出解的存在区域.This paper considers a kind of inverse problems for the hyperbolic operator formulated as the problem of finding the function q(x). By means of the Banach theorem, the existance and the uniqueness of the solution to the inverse problem are proved and the region of existence of the solution is given.

关 键 词：反问题 不动点 双曲算子 初值问题 

分 类 号：O175.3[理学—数学]