In this paper we consider a parabolic inverse problem in which two unknown functions are involved in the boundary conditions, and attempt to recover these functions by measuring the values of the flux on the boundary. Explicit solutions for the temperature and the radiation terms are derived, and some stability and asymptotic results are discussed. Finally, by using the newly proposed numerical procedure some computational results are presented.
@article{702888,
title = {Identification of parameters in parabolic inverse problems},
booktitle = {Applications of Mathematics 2012},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2012},
pages = {1-13},
mrnumber = {MR3204396},
zbl = {1313.35141},
url = {http://dml.mathdoc.fr/item/702888}
}
Azari, Hossein; Liu, Tang; Zhang, Shuhua. Identification of parameters in parabolic inverse problems, dans Applications of Mathematics 2012, GDML_Books, (2012), pp. 1-13. http://gdmltest.u-ga.fr/item/702888/