Abstract:
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.
Key words and phrases:ultrahyperbolic equation, asymptotic behavior of a solution at the infinity, scattering problem.
Fulltext:
PDF file (219 kB)