Geodesic
Investigation of the influence of parameters on the correctness of the conjugation problem for the Boussinesq~--- L\"ove
Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 1, pp. 30-42

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The aim of this work is to study the solvability of boundary value problems for differential equations $u_{tt}-\Delta u_{tt}+\lambda\Delta u=\mu u+f(x,t)$ with the Dirichlet boundary conditions, as well as with some matching conditions on the line $t=0$. For the problems under study, the properties of existence, uniqueness and non-uniqueness of a regular solution are established (i.e. solutions having all generalized derivatives by S.L. Sobolev included in the equation).
Keywords: Boussinesq — Löve equation, boundary value problem, conjugation conditions, regular solution, existence of solution, uniqueness of solution, influence of parameters. 
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     author = {A. I. Kozhanov and N. N. Shadrina},
     title = {Investigation of the influence of parameters on the correctness of the conjugation problem for the {Boussinesq~---} {L\"ove}},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
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     volume = {7},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2022_7_1_a3/}
}
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A. I. Kozhanov; N. N. Shadrina. Investigation of the influence of parameters on the correctness of the conjugation problem for the Boussinesq~--- L\"ove. Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 1, pp. 30-42. http://geodesic.mathdoc.fr/item/CHFMJ_2022_7_1_a3/