WELL-POSEDNESS OF A PARABOLIC INVERSE PROBLEM

被引：0

作者：

喻文焕

机构：

来源：

Acta Mathematicae Applicatae Sinica | 1997年 / 03期

关键词：

Inverse problems for parabolic differential equations; well-posedness; uniqueness; existence of inverse problems;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper the inverse problem of determining the source term, which is independent of the time variable, of a linear, uniformly-parabolic equation is investigated. The uniqueness of the inverse problem is proved under mild assumptions by using the orthogonality method and an elimination method. The existence of the inverse problem is proved by means of the theory of solvable operators between Banach spaces; moreover, the continuous dependence on measurement of the solution to the inverse problem is also proved.

引用

页码：329 / 336

页数：8

共 9 条

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[9] W.H. Yu.On the Existence of an Inverse Problem. Journal of Mathematical Analysis and Applications . 1991

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