Geodesic
Determination of a non-stationary adsorption coefficient analytical in part of spatial variables
Matematičeskie trudy, Tome 25 (2022) no. 2, pp. 88-106

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The multidimensional adsorption coefficient inverse problem is considered for a second order hyperbolic equation. It is supposed that this coefficient is continuous with respect to the variables $t$, $x$ and analytic in the other spatial variables. For solving this equation, the scale method of Banach spaces of analytic functions is applied. The problem are reduced to a system of nonlinear Volterra integral equations and the local existence, global uniqueness, stability estimates are established. 
@article{MT_2022_25_2_a2,
     author = {D. K. Durdiev and Zh. D. Totieva},
     title = {Determination of a non-stationary adsorption coefficient analytical in part of spatial variables},
     journal = {Matemati\v{c}eskie trudy},
     pages = {88--106},
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     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2022_25_2_a2/}
}
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D. K. Durdiev; Zh. D. Totieva. Determination of a non-stationary adsorption coefficient analytical in part of spatial variables. Matematičeskie trudy, Tome 25 (2022) no. 2, pp. 88-106. http://geodesic.mathdoc.fr/item/MT_2022_25_2_a2/