This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown. Finally, some numerical experiments are presented.
@article{bwmeta1.element.doi-10_1515_math-2017-0003,
author = {Fatma Kanca},
title = {Determination of a diffusion coefficient in a quasilinear parabolic equation},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {77-91},
zbl = {06694991},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0003}
}
Fatma Kanca. Determination of a diffusion coefficient in a quasilinear parabolic equation. Open Mathematics, Tome 15 (2017) pp. 77-91. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0003/