Inverse problem for the heat equation in a rectangular domain
We establish conditions for the existence and uniqueness of a smooth solution to the inverse problem for the two-dimensional heat equation with unknown leading coefficient depending on time and the space variable.
Збережено в:
| Дата: | 2017 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2017
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1807 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860507670772973568 |
|---|---|
| author | Ivanchov, N. I. Kinash, N. Ye. Іванчов, М. І. Кінаш, Н. Є. |
| author_facet | Ivanchov, N. I. Kinash, N. Ye. Іванчов, М. І. Кінаш, Н. Є. |
| author_sort | Ivanchov, N. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2019-12-05T09:28:05Z |
| description | We establish conditions for the existence and uniqueness of a smooth solution to the inverse problem for the two-dimensional
heat equation with unknown leading coefficient depending on time and the space variable. |
| first_indexed | 2026-03-24T02:13:00Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-1807 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T02:13:00Z |
| publishDate | 2017 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d1/604b68c32759af7f3ac0797494be78d1 |
| spelling | umjimathkievua-article-18072019-12-05T09:28:05Z Inverse problem for the heat equation in a rectangular domain Обернена задача для рівняння теплопровідності у прямокутній області Ivanchov, N. I. Kinash, N. Ye. Іванчов, М. І. Кінаш, Н. Є. We establish conditions for the existence and uniqueness of a smooth solution to the inverse problem for the two-dimensional heat equation with unknown leading coefficient depending on time and the space variable. Установлены условия существования и единственности гладкого решения обратной задачи для двумерного уравнения теплопроводности с неизвестным зависящим от времени и пространственной переменной старшим коэффициентом. Institute of Mathematics, NAS of Ukraine 2017-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1807 Ukrains’kyi Matematychnyi Zhurnal; Vol. 69 No. 12 (2017); 1605-1614 Український математичний журнал; Том 69 № 12 (2017); 1605-1614 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/1807/789 Copyright (c) 2017 Ivanchov N. I.; Kinash N. Ye. |
| spellingShingle | Ivanchov, N. I. Kinash, N. Ye. Іванчов, М. І. Кінаш, Н. Є. Inverse problem for the heat equation in a rectangular domain |
| title | Inverse problem for the heat equation in a rectangular domain |
| title_alt | Обернена задача для рівняння теплопровідності у прямокутній
області |
| title_full | Inverse problem for the heat equation in a rectangular domain |
| title_fullStr | Inverse problem for the heat equation in a rectangular domain |
| title_full_unstemmed | Inverse problem for the heat equation in a rectangular domain |
| title_short | Inverse problem for the heat equation in a rectangular domain |
| title_sort | inverse problem for the heat equation in a rectangular domain |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1807 |
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