Reconstruction of a source term in a parabolic integro-differential equation from final data

Reconstruction of a source term in a parabolic integro-differential equation from final data

The identification of a source term in a parabolic integro-differential equation is considered. We study the existence of the quasi-solution to this problem, Tikhonov regularization and a related gradient method.

Bibliographic Details
Main Authors: Kairi Kasemets, Jaan Janno
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2011-06-01
Series:Mathematical Modelling and Analysis
Subjects:
Inverse problem
integro-differential equation
quasi-solution
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/5524
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spelling doaj-88b95b1716d641038798dbf6cb35559c2021-07-02T11:45:53ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102011-06-0116210.3846/13926292.2011.578282Reconstruction of a source term in a parabolic integro-differential equation from final dataKairi Kasemets0Jaan Janno1Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, EstoniaTallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia The identification of a source term in a parabolic integro-differential equation is considered. We study the existence of the quasi-solution to this problem, Tikhonov regularization and a related gradient method. https://journals.vgtu.lt/index.php/MMA/article/view/5524Inverse problemintegro-differential equationquasi-solution
collection DOAJ
language English
format Article
sources DOAJ
author Kairi Kasemets
Jaan Janno
spellingShingle Kairi Kasemets
Jaan Janno
Reconstruction of a source term in a parabolic integro-differential equation from final data
Mathematical Modelling and Analysis
Inverse problem
integro-differential equation
quasi-solution
author_facet Kairi Kasemets
Jaan Janno
author_sort Kairi Kasemets
title Reconstruction of a source term in a parabolic integro-differential equation from final data
title_short Reconstruction of a source term in a parabolic integro-differential equation from final data
title_full Reconstruction of a source term in a parabolic integro-differential equation from final data
title_fullStr Reconstruction of a source term in a parabolic integro-differential equation from final data
title_full_unstemmed Reconstruction of a source term in a parabolic integro-differential equation from final data
title_sort reconstruction of a source term in a parabolic integro-differential equation from final data
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2011-06-01
description The identification of a source term in a parabolic integro-differential equation is considered. We study the existence of the quasi-solution to this problem, Tikhonov regularization and a related gradient method.
topic Inverse problem
integro-differential equation
quasi-solution
url https://journals.vgtu.lt/index.php/MMA/article/view/5524
work_keys_str_mv AT kairikasemets reconstructionofasourceterminaparabolicintegrodifferentialequationfromfinaldata
AT jaanjanno reconstructionofasourceterminaparabolicintegrodifferentialequationfromfinaldata
_version_ 1721330777741852672

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