An inverse source problem for the heat equation and the enclosure method
An inverse source problem for the heat equation and the enclosure method
复制标题
DOI：
10.1088/0266-5611/23/1/009
复制
发表时间：
2006-11
期刊：
影响因子：
2.1
通讯作者：
Masaru Ikehata
中科院分区：
文献类型：
--
作者：
Masaru Ikehata
考虑了热传导方程的一个源反问题。从一个单一的横向边界测量的信息提取公式的时间和位置的未知源的方程首次出现的时间和地点。给出了后向热传导方程的平面行波解或其复形式的新的作用。
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.