Geodesic
An inverse problem for pseudoparabolic equation with the mixed boundary condition
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 5, pp. 661-672

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In this paper we study the inverse problem on identification of the leading coefficient in the pseudoparabolic equation. The problem involves the mixed boundary condition. The unknown coefficient is recovered by additional integral boundary data. The existence and uniqueness of the strong solution are proved. The result concerns with the identification of the hydraulic properties of fissured medium.
Keywords: inverse problem, uniqueness.
Mots-clés : filtration, pseudoparabolic equation, existence 
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     author = {Anna Sh. Lyubanova},
     title = {An inverse problem for pseudoparabolic equation with the mixed boundary condition},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     publisher = {mathdoc},
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     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2023_16_5_a11/}
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Anna Sh. Lyubanova. An inverse problem for pseudoparabolic equation with the mixed boundary condition. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 5, pp. 661-672. http://geodesic.mathdoc.fr/item/JSFU_2023_16_5_a11/