Well-posedness of boundary value problems for reverse parabolic equation with integral condition

Reverse parabolic equation with integral condition is considered. Well-posedness of reverse parabolic problem in the Hölder space is proved. Coercive stability estimates for solution of three boundary value problems (BVPs) to reverse parabolic equation with integral condition are established.

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Main Author: Charyyar Ashyralyyev
Format: Article
Language:English
Published: EJAAM 2018-12-01
Series:E-Journal of Analysis and Applied Mathematics
Subjects:
Online Access:https://ejaam.org/articles/2018/10.2478-ejaam-2018-0002.pdf
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author Charyyar Ashyralyyev
author_facet Charyyar Ashyralyyev
author_sort Charyyar Ashyralyyev
collection DOAJ
description Reverse parabolic equation with integral condition is considered. Well-posedness of reverse parabolic problem in the Hölder space is proved. Coercive stability estimates for solution of three boundary value problems (BVPs) to reverse parabolic equation with integral condition are established.
format Article
id doaj-art-2e01c4918a354d6f98000fe7fcedcde9
institution Kabale University
issn 2544-9990
language English
publishDate 2018-12-01
publisher EJAAM
record_format Article
series E-Journal of Analysis and Applied Mathematics
spelling doaj-art-2e01c4918a354d6f98000fe7fcedcde92025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902018-12-01201810.2478/ejaam-2018-0002Well-posedness of boundary value problems for reverse parabolic equation with integral conditionCharyyar Ashyralyyev0Department of Mathematical Engineering, Gumushane University, Gumushane, 29100, TurkeyReverse parabolic equation with integral condition is considered. Well-posedness of reverse parabolic problem in the Hölder space is proved. Coercive stability estimates for solution of three boundary value problems (BVPs) to reverse parabolic equation with integral condition are established.https://ejaam.org/articles/2018/10.2478-ejaam-2018-0002.pdfreverse parabolic problemstabilitycoercive stabilitywell-posedness
spellingShingle Charyyar Ashyralyyev
Well-posedness of boundary value problems for reverse parabolic equation with integral condition
E-Journal of Analysis and Applied Mathematics
reverse parabolic problem
stability
coercive stability
well-posedness
title Well-posedness of boundary value problems for reverse parabolic equation with integral condition
title_full Well-posedness of boundary value problems for reverse parabolic equation with integral condition
title_fullStr Well-posedness of boundary value problems for reverse parabolic equation with integral condition
title_full_unstemmed Well-posedness of boundary value problems for reverse parabolic equation with integral condition
title_short Well-posedness of boundary value problems for reverse parabolic equation with integral condition
title_sort well posedness of boundary value problems for reverse parabolic equation with integral condition
topic reverse parabolic problem
stability
coercive stability
well-posedness
url https://ejaam.org/articles/2018/10.2478-ejaam-2018-0002.pdf
work_keys_str_mv AT charyyarashyralyyev wellposednessofboundaryvalueproblemsforreverseparabolicequationwithintegralcondition