Geodesic
Inverse problem for the Boussinesq--Love equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Mechanics, and Differential Equations, Tome 213 (2022), pp. 72-79

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For an abstract, high-order, incomplete Sobolev-type equation, an inverse problem with final redefinition is considered. Conditions for the unique solvability of the problem are found. Some special cases are considered. The main result contains necessary and sufficient conditions for the existence and uniqueness of a solution of the inverse problem for high-order, Sobolev-type equations. This technique is applied to the study of the inverse problem for the Boussinesq–Love equation.
Keywords: high-order Sobolev-type equation, inverse problem, unique solvability.
Mots-clés : Boussinesq–Love equation 
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     author = {A. A. Mukhametyarova},
     title = {Inverse problem for the {Boussinesq--Love} equation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {72--79},
     publisher = {mathdoc},
     volume = {213},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_213_a6/}
}
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A. A. Mukhametyarova. Inverse problem for the Boussinesq--Love equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Mechanics, and Differential Equations, Tome 213 (2022), pp. 72-79. http://geodesic.mathdoc.fr/item/INTO_2022_213_a6/