Geodesic
Boundary value problem in a cylinder for a pseudohyperbolic equation
Čelâbinskij fiziko-matematičeskij žurnal, Tome 8 (2023) no. 4, pp. 469-482

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The paper considers the first boundary value problem in a cylinder for a pseudohyperbolic equation with variable coefficients. A theorem on the existence of a unique generalized solution of a boundary value problem in a Sobolev space is proved. Estimates for the solution are obtained.
Keywords: generalized solution, pseudohyperbolic equation, Sobolev spaces, Galerkin method. 
@article{CHFMJ_2023_8_4_a1,
     author = {L. N. Bondar' and G. V. Demidenko and V. S. Nurmakhmatov},
     title = {Boundary value problem in a cylinder for a pseudohyperbolic equation},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {469--482},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2023_8_4_a1/}
}
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L. N. Bondar'; G. V. Demidenko; V. S. Nurmakhmatov. Boundary value problem in a cylinder for a pseudohyperbolic equation. Čelâbinskij fiziko-matematičeskij žurnal, Tome 8 (2023) no. 4, pp. 469-482. http://geodesic.mathdoc.fr/item/CHFMJ_2023_8_4_a1/