Determination of a diffusion coefficient in a quasilinear parabolic equation

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...

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Main Author: Kanca Fatma
Format: Article
Language:English
Published: De Gruyter 2017-02-01
Series:Open Mathematics
Subjects:
heat equation
inverse problem
nonlocal boundary condition
integral overdetermination condition
time-dependent diffusion coefficient
35k59
35r30
Online Access:https://doi.org/10.1515/math-2017-0003
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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

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