PARABOLIC SOURCE IDENTIFICATION PROBLEM WITH INTEGRAL CONDITION
Ashyralyyev C.
2025Springer
Journal of Mathematical Sciences (United States)
2025
The aim of the present work is to study a source identification problem for the parabolic equation with a nonlocal integral condition. We give stability estimates for the solution of the source identification problem. Later, we apply the obtained result to study a parabolic partial differential equation with an unknown source and nonlocal conditions.
Inverse problem , Parabolic equation , Source identification problem , Stability , Well-posedness
Text of the article Перейти на текст статьи
Department of Mathematics, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, Kazakhstan
National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
Department of Mathematics
Khoja Akhmet Yassawi International Kazakh-Turkish University
National University of Uzbekistan named after Mirzo Ulugbek
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026