English

Existence of a solution to the scattering problem for the ultrahyperbolic equation

Analysis of PDEs 2024-10-29 v1

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.

Keywords

Cite

@article{arxiv.2410.20093,
  title  = {Existence of a solution to the scattering problem for the ultrahyperbolic equation},
  author = {Maxim N. Demchenko},
  journal= {arXiv preprint arXiv:2410.20093},
  year   = {2024}
}