FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Inverse problem with integral overdetermination for a semilinear parabolic equation |
Chebotarev A. Yu. |
2024, issue 2, P. 280-285 DOI: https://doi.org/10.47910/FEMJ202425 |
Abstract |
| An analysis of the inverse problem for a nonlinear parabolic equation with integral overdetermination is presented. Nonlocal estimates of the solution of the inverse problem are obtained, its solvability in time as a whole is proved, and conditions for the uniqueness of the solution are derived. |
Keywords: semilinear parabolic equation, inverse coefficient problem, integral overdetermination, nonlocal unique solvability. |
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References |
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