Inverse problem of determining the absorption coefficient in the multidimensional heat equation with unlimited minor coefficients

被引：0

作者：

T. I. Bukharova

V. L. Kamynin

机构：

[1] National Research Nuclear University MEPhI,

来源：

Computational Mathematics and Mathematical Physics | 2015年 / 55卷

关键词：

coefficient inverse problem; parabolic equations; integral observation condition; conditions for the existence and uniqueness of solution; stability of solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The inverse problem of reconstructing the absorption coefficient (from L2) in the multidi-mensional heat equation under an additional integral observation condition is studied. It is assumed that the minor coefficients belong to the Lebesgue space. For the solution to the inverse problem, sufficient conditions for existence, uniqueness, and stability to perturbations of input data are established. These conditions are formulated in the form of easy-to-check inequalities.

引用

页码：1164 / 1176

页数：12

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