Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions

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Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions. / Kozhanov, A. I.; Shipina, T. N.

In: Journal of Mathematical Sciences (United States), Vol. 274, No. 4, 08.2023, p. 523-533.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{c77a010ba3d0468da745aa909a222f17,

title = "Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions",

abstract = "We consider coefficient inverse problems of finding a solution and a time-dependent coefficient of a parabolic equation under boundary overdetermination conditions. Based on the very recent results of the first author on nonlocal problems with generalized Samarskii–Ionkin conditions, we establish the solvability of the inverse problems under consideration.",

author = "Kozhanov, {A. I.} and Shipina, {T. N.}",

note = "The work was carried out within the framework of the state task of the Sobolev Institute of Mathematics (project No. FWNF–2022–0008). Публикация для корректировки.",

year = "2023",

month = aug,

doi = "10.1007/s10958-023-06617-5",

language = "English",

volume = "274",

pages = "523--533",

journal = "Journal of Mathematical Sciences (United States)",

issn = "1072-3374",

publisher = "Springer Nature",

number = "4",

}

RIS

TY - JOUR

T1 - Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions

AU - Kozhanov, A. I.

AU - Shipina, T. N.

N1 - The work was carried out within the framework of the state task of the Sobolev Institute of Mathematics (project No. FWNF–2022–0008). Публикация для корректировки.

PY - 2023/8

Y1 - 2023/8

N2 - We consider coefficient inverse problems of finding a solution and a time-dependent coefficient of a parabolic equation under boundary overdetermination conditions. Based on the very recent results of the first author on nonlocal problems with generalized Samarskii–Ionkin conditions, we establish the solvability of the inverse problems under consideration.

AB - We consider coefficient inverse problems of finding a solution and a time-dependent coefficient of a parabolic equation under boundary overdetermination conditions. Based on the very recent results of the first author on nonlocal problems with generalized Samarskii–Ionkin conditions, we establish the solvability of the inverse problems under consideration.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85168565559&origin=inward&txGid=bfcaed0801f18260b5cdb4e7e064f969

UR - https://www.mendeley.com/catalogue/a422bd3e-0168-3518-9f82-6e74afe0e422/

U2 - 10.1007/s10958-023-06617-5

DO - 10.1007/s10958-023-06617-5

M3 - Article

VL - 274

SP - 523

EP - 533

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 4

ER -

ID: 59558080