Identification of source locations in two-dimensional heat equations

被引：100
|
作者：
Ling, Leevan [1 ]
Yamamoto, Masahiro
Hon, Y. C.
Takeuchi, Tomoya
机构：
[1] Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China
[2] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan
[3] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
INVERSE PROBLEMS | 2006年 / 22卷 / 04期
关键词：
D O I：
10.1088/0266-5611/22/4/011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show the uniqueness of the identification of unknown source locations in two-dimensional heat equations from scattered measurements. Based on the assumption that the unknown source function is a sum of some known functions, we prove that one measurement point is sufficient to identify the number of sources and three measurement points are sufficient to determine all unknown source locations. For verification, we propose a numerical reconstruction scheme for recovering the number of unknown sources and all source locations.
引用
收藏
页码：1289 / 1305
页数：17
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