Geodesic
Boundary value problems for one pseudohyperbolic equation in a quarter plane
Matematičeskie trudy, Tome 24 (2021) no. 2, pp. 3-23

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We consider general boundary value problems for one pseudohyperbolic equation in a quarter plane. We assume that the boundary value problems satisfy the Lopatinskii condition. We prove theorems on unique solvability in an anisotropic Sobolev space and establish some estimates for solutions. 
@article{MT_2021_24_2_a0,
     author = {L. N. Bondar' and G. V. Demidenko},
     title = {Boundary value problems for one pseudohyperbolic equation in a quarter plane},
     journal = {Matemati\v{c}eskie trudy},
     pages = {3--23},
     publisher = {mathdoc},
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     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2021_24_2_a0/}
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L. N. Bondar'; G. V. Demidenko. Boundary value problems for one pseudohyperbolic equation in a quarter plane. Matematičeskie trudy, Tome 24 (2021) no. 2, pp. 3-23. http://geodesic.mathdoc.fr/item/MT_2021_24_2_a0/