An inverse source problem for the heat equation and the enclosure method

被引:31
作者
Ikehata, Masaru [1 ]
机构
[1] Gunma Univ, Fac Engn, Dept Math, Kiryu, Gunma 3768515, Japan
关键词
D O I
10.1088/0266-5611/23/1/009
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An inverse source problem for the heat equation is considered. Extraction formulae for information about the time and location of when and where the unknown source of the equation first appeared are given from a single lateral boundary measurement. New roles of the plane progressive wave solutions or their complex versions for the backward heat equation are given.
引用
收藏
页码:183 / 202
页数:20
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