Determination of a diffusion coefficient in a quasilinear parabolic equation
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, uniquene...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
De Gruyter
2017-02-01
|
Series: | Open Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.1515/math-2017-0003 |
id |
doaj-d6e277e305ff40a19bc13870158207ef |
---|---|
record_format |
Article |
spelling |
doaj-d6e277e305ff40a19bc13870158207ef2021-09-06T19:20:08ZengDe GruyterOpen Mathematics2391-54552017-02-01151779110.1515/math-2017-0003math-2017-0003Determination of a diffusion coefficient in a quasilinear parabolic equationKanca Fatma0Department of Management Information Systems, Kadir Has University, 34083, Istanbul, TurkeyThis 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.https://doi.org/10.1515/math-2017-0003heat equationinverse problemnonlocal boundary conditionintegral overdetermination conditiontime-dependent diffusion coefficient35k5935r30 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Kanca Fatma |
spellingShingle |
Kanca Fatma Determination of a diffusion coefficient in a quasilinear parabolic equation Open Mathematics heat equation inverse problem nonlocal boundary condition integral overdetermination condition time-dependent diffusion coefficient 35k59 35r30 |
author_facet |
Kanca Fatma |
author_sort |
Kanca Fatma |
title |
Determination of a diffusion coefficient in a quasilinear parabolic equation |
title_short |
Determination of a diffusion coefficient in a quasilinear parabolic equation |
title_full |
Determination of a diffusion coefficient in a quasilinear parabolic equation |
title_fullStr |
Determination of a diffusion coefficient in a quasilinear parabolic equation |
title_full_unstemmed |
Determination of a diffusion coefficient in a quasilinear parabolic equation |
title_sort |
determination of a diffusion coefficient in a quasilinear parabolic equation |
publisher |
De Gruyter |
series |
Open Mathematics |
issn |
2391-5455 |
publishDate |
2017-02-01 |
description |
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. |
topic |
heat equation inverse problem nonlocal boundary condition integral overdetermination condition time-dependent diffusion coefficient 35k59 35r30 |
url |
https://doi.org/10.1515/math-2017-0003 |
work_keys_str_mv |
AT kancafatma determinationofadiffusioncoefficientinaquasilinearparabolicequation |
_version_ |
1717777236685225984 |