Title

Structural identification of an unknown source term in a heat equation

Authors

Authors

J. R. Cannon;P. DuChateau

Comments

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Abbreviated Journal Title

Inverse Probl.

Keywords

DIFFUSION EQUATION; INVERSE PROBLEM; Mathematics, Applied; Physics, Mathematical

Abstract

The identification of an unknown state-dependent source term in a reaction-diffusion equation is considered. Integral identities are derived which relate changes in the source term to corresponding changes in the measured output. The identities are used to show that the measured boundary output determines the source term uniquely in an appropriate function class and to show that a source term that minimizes an output least squares functional based on this measured output must also solve the inverse problem. The set of outputs generated by polygonal source functions is shown to be dense in the set of all admissible outputs. Results from some numerical experiments are discussed.

Journal Title

Inverse Problems

Volume

14

Issue/Number

3

Publication Date

1-1-1998

Document Type

Article

DOI Link

http://dx.doi.org/10.1088/0266-5611/14/3/010

Language

English

First Page

535

Last Page

551

WOS Identifier

WOS:000074497500010

ISSN

0266-5611

Recommended Citation

"Structural identification of an unknown source term in a heat equation" (1998). Faculty Bibliography 1990s. 2194.
https://stars.library.ucf.edu/facultybib1990/2194