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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Language: | English |
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EJAAM
2018-12-01
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Series: | E-Journal of Analysis and Applied Mathematics |
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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 |