Email this article Criteria of the Uniqueness of Solutions and Well-Posedness of Inverse Source Problems
- Authors: Kostin A.B.1
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Affiliations:
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
- Issue: Vol 230, No 6 (2018)
- Pages: 907-949
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/241059
- DOI: https://doi.org/10.1007/s10958-018-3799-8
- ID: 241059
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Abstract
In this paper, we study the relation between the well-posedness of the inverse problem of the recovering the source in an abstract differential equation and the basis property of a certain class of function systems in a Hilbert space. As a consequence, based on the results concerning the well-posedness of inverse problems, we obtain the Riesz basis property and—under certain additional conditions—the Bari basis property of such systems.
About the authors
A. B. Kostin
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Author for correspondence.
Email: abkostin@yandex.ru
Russian Federation, Moscow
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