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

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