Inverse problems of determining coefficients of time type in a degenerate parabolic equation Full article
| Journal |
Вестник Карагандинского университета. Серия Математика (Bulletin of the Karaganda University-Mathematics)
ISSN: 2518-7929 , E-ISSN: 2663-5011 |
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| Output data | Year: 2022, Number: 2(106), Pages: 128-142 Pages count : 15 DOI: 10.31489/2022M2/128-142 | ||||||||
| Tags | degenerate parabolic equations, linear inverse problems, non-linear inverse problems, regular solutions, existence. | ||||||||
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Funding (1)
| 1 | Sobolev Institute of Mathematics | 0314-2019-0010 |
Abstract:
The paper is devoted to the study of the solvability of inverse coefficient problems for degenerate parabolic equations of the second order. We study both linear inverse problems– the problems of determining an unknown right-hand side (external influence), and nonlinear problems of determining an unknown coefficient of the equation itself. The peculiarity of the studied work is that its unknown coefficients are functions of a time variable only. The work aims to prove the existence and uniqueness of regular solutions to the studied problems (having all the generalized in the sense of S.L. Sobolev derivatives entering the equation).
Cite:
Kozhanov A.I.
, Abulkayirov U.U.
, Ashurova G.R.
Inverse problems of determining coefficients of time type in a degenerate parabolic equation
Вестник Карагандинского университета. Серия Математика (Bulletin of the Karaganda University-Mathematics). 2022. N2(106). P.128-142. DOI: 10.31489/2022M2/128-142 WOS Scopus РИНЦ OpenAlex
Inverse problems of determining coefficients of time type in a degenerate parabolic equation
Вестник Карагандинского университета. Серия Математика (Bulletin of the Karaganda University-Mathematics). 2022. N2(106). P.128-142. DOI: 10.31489/2022M2/128-142 WOS Scopus РИНЦ OpenAlex
Dates:
| Published print: | Nov 21, 2022 |
Identifiers:
| Web of science: | WOS:000822446900011 |
| Scopus: | 2-s2.0-85147117745 |
| Elibrary: | 48904561 |
| OpenAlex: | W4283741433 |