Geodesic
Existence of a solution to the scattering problem for the ultrahyperbolic equation
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 53, Tome 521 (2023), pp. 79-94

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We consider the ultrahyperbolic equation in the Euclidean space. The behavior at the infinity of a certain class of solutions is studied. We examine the issue of existence of solutions to the scattering problem: for a given asymptotics at the infinity the corresponding solution to the equation is constructed. 
@article{ZNSL_2023_521_a5,
     author = {M. N. Demchenko},
     title = {Existence of a solution to the scattering problem for the ultrahyperbolic equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {79--94},
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     volume = {521},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_521_a5/}
}
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M. N. Demchenko. Existence of a solution to the scattering problem for the ultrahyperbolic equation. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 53, Tome 521 (2023), pp. 79-94. http://geodesic.mathdoc.fr/item/ZNSL_2023_521_a5/