Geodesic
Inverse problem with integral overdetermination for a semilinear parabolic equation
Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 2, pp. 280-285

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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. 
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     author = {A. Yu. Chebotarev},
     title = {Inverse problem with integral overdetermination for a semilinear parabolic equation},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2024_24_2_a11/}
}
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A. Yu. Chebotarev. Inverse problem with integral overdetermination for a semilinear parabolic equation. Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 2, pp. 280-285. http://geodesic.mathdoc.fr/item/DVMG_2024_24_2_a11/