Geodesic
Solvability of the linear inverse problem for the pseudoparabolic equation
Matematičeskie zametki SVFU, Tome 30 (2023) no. 3, pp. 58-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate the solvability of inverse problems of determination, along with the solution $u(x, t)$ to the pseudoparabolic equation, of the unknown source function. Similar problems are considered when studying wave processes, filtration in porous media, and heat transfer processes. A theorem for the existence of a regular solution is proved. Inverse problems for pseudoparabolic equations with an unknown external influence depending on $x$ and a final redefinition have not been considered previously.
Keywords: inverse problem, final redefinition
Mots-clés : pseudoparabolic equation, existence. 
@article{SVFU_2023_30_3_a4,
     author = {O. Yu. Nikolaev},
     title = {Solvability of the linear inverse problem for the pseudoparabolic equation},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {58--66},
     year = {2023},
     volume = {30},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2023_30_3_a4/}
}
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O. Yu. Nikolaev. Solvability of the linear inverse problem for the pseudoparabolic equation. Matematičeskie zametki SVFU, Tome 30 (2023) no. 3, pp. 58-66. http://geodesic.mathdoc.fr/item/SVFU_2023_30_3_a4/