A note on well-posedness of source identification elliptic problem in a Banach space

We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in Holder norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.

Авторы
Ashyralyev A. 1, 2, 3 , Ashyralyyev C.4, 5 , Zvyagin V.G.6
Издательство
KARAGANDA STATE UNIV
Номер выпуска
3
Язык
Английский
Страницы
96-104
Статус
Опубликовано
Том
99
Год
2020
Организации
  • 1 Near East Univ, Dept Math, Mersin 10, Nicosia, Trnc, Turkey
  • 2 Peoples Friendship Univ Russia, RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia
  • 3 Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
  • 4 Gumushane Univ, Dept Math Engn, TR-29100 Gumushane, Turkey
  • 5 TAU, Dept Comp Technol, Ashkhabad 744000, Turkmenistan
  • 6 Voronezh State Univ, Univ Skaya Sq 1, Voronezh 394018, Russia
Ключевые слова
well-posedness; elliptic equations; positivity; coercive stability; source identification; exact estimates; boundary value problem
Дата создания
20.04.2021
Дата изменения
20.04.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/73166/
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