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 
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/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

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