Document Type

Journal Article

Department/Unit

Department of Mathematics

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 Year

2006

Journal Title

Inverse Problems

Volume number

22

Issue number

4

Publisher

IOP Publishing

First Page (page number)

1289

Last Page (page number)

1305

Referreed

1

DOI

10.1088/0266-5611/22/4/011

ISSN (print)

02665611

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