Abstract:
The identification of an unknown coefficient in the lower term of elliptic second-order differential equation Mu+ku=f with boundary condition of the third kind is considered. The identification of the coefficient is based on integral boundary data. The local existence and uniqueness of the strong solution for the inverse problem is proved.
Keywords:
inverse problem for PDE, boundary value problem, second-order elliptic equation, existence and uniqueness theorem.
This work was supported by Russian Foundation of Basic Research [grant no. 20-31-90053].
Received: 10.04.2021 Received in revised form: 10.05.2021 Accepted: 20.06.2021
Bibliographic databases:
Document Type:
Article
UDC:517.95
Language: English
Citation:
Alexander V. Velisevich, “On an inverse problem for a stationary equation with boundary condition of the third kind”, J. Sib. Fed. Univ. Math. Phys., 14:5 (2021), 659–666
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\paper On an inverse problem for a stationary equation with boundary condition of the third kind
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\pages 659--666
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Linking options:
https://www.mathnet.ru/eng/jsfu952
https://www.mathnet.ru/eng/jsfu/v14/i5/p659
This publication is cited in the following 3 articles:
Alexander V. Velisevich, Anna Sh. Lyubanova, “On the stability of the solutions of inverse problems for elliptic equations”, Zhurn. SFU. Ser. Matem. i fiz., 17:3 (2024), 398–407
A. I. Kozhanov, G. V. Namsaraeva, “Solvability analysis of problems of determining external influence of combined type in processes described by parabolic equations”, J. Appl. Industr. Math., 18:2 (2024), 282–293
A. Sh. Lyubanova, A. V. Velisevich, “An Inverse Problem for a Quasilinear Elliptic Equation”, J Math Sci, 270:4 (2023), 591
Citation in format AMSBIB
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