# Determination of a diffusion coefficient in a quasilinear parabolic equation

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 77-91
- ISSN: 2391-5455

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topFatma Kanca. "Determination of a diffusion coefficient in a quasilinear parabolic equation." Open Mathematics 15.1 (2017): 77-91. <http://eudml.org/doc/288078>.

@article{FatmaKanca2017,

abstract = {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.},

author = {Fatma Kanca},

journal = {Open Mathematics},

keywords = {Heat equation; Inverse problem; Nonlocal boundary condition; Integral overdetermination condition; Time-dependent diffusion coefficient; heat equation; inverse problem; nonlocal boundary condition; integral overdetermination condition; time-dependent diffusion coefficient},

language = {eng},

number = {1},

pages = {77-91},

title = {Determination of a diffusion coefficient in a quasilinear parabolic equation},

url = {http://eudml.org/doc/288078},

volume = {15},

year = {2017},

}

TY - JOUR

AU - Fatma Kanca

TI - Determination of a diffusion coefficient in a quasilinear parabolic equation

JO - Open Mathematics

PY - 2017

VL - 15

IS - 1

SP - 77

EP - 91

AB - 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.

LA - eng

KW - Heat equation; Inverse problem; Nonlocal boundary condition; Integral overdetermination condition; Time-dependent diffusion coefficient; heat equation; inverse problem; nonlocal boundary condition; integral overdetermination condition; time-dependent diffusion coefficient

UR - http://eudml.org/doc/288078

ER -

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