Document Type
Journal Article
Department/Unit
Department of Mathematics
Language
English
Abstract
In this paper, we give the uniqueness on 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.
Publication Date
2006
Source Publication Title
Inverse Problems
Volume
22
Issue
4
Start Page
1289
End Page
1305
Publisher
IOP Publishing
Peer Reviewed
1
DOI
10.1088/0266-5611/22/4/011
Link to Publisher's Edition
http://dx.doi.org/10.1088/0266-5611/22/4/011
ISSN (print)
02665611
Recommended Citation
Ling, Leevan, Masahiro Yamamoto, Y. C. Hon, and Tomoya Takeuchi. "Identification of source locations in two-dimensional heat equations." Inverse Problems 22.4 (2006): 1289-1305.