On a certain representation of a solution to the characteristic problem for the ultrahyperbolic equation
Analysis of PDEs
2026-04-27 v1
Abstract
We consider the characteristic problem for the ultrahyperbolic equation in the Euclidean space. The value of a solution is prescribed on the characteristic hyperplane. A well-posed set-up of the problem is discussed. We obtain a certain representation for a solution suitable for analysis of its asymptotics at the infinity.
Keywords
Cite
@article{arxiv.2604.22402,
title = {On a certain representation of a solution to the characteristic problem for the ultrahyperbolic equation},
author = {Maxim N. Demchenko},
journal= {arXiv preprint arXiv:2604.22402},
year = {2026}
}