Inverse problem for the diffusion equation with overdetermination in the form of an external volume potential

被引：0

作者：

A. M. Denisov

机构：

[1] Moscow State University,Faculty of Computational Mathematics and Cybernetics

来源：

Computational Mathematics and Mathematical Physics | 2011年 / 51卷

关键词：

diffusion equation; unknown initial condition; inverse problem; volume potential; eigenfunctions of Laplacian; uniqueness theorems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An initial-boundary value problem for the diffusion equation with an unknown initial condition is considered. Additional information used for determining the unknown initial condition is an external volume potential whose density is the Laplacian calculated for the solution of the initial-boundary value problem. Uniqueness theorems for the inverse problem are proved in the case when the spatial domain of the initial-boundary value problem is a spherical layer or a parallelepiped.

引用

页码：1588 / 1595

页数：7