Asymptotic properties of solutions to a certain ultrahyperbolic equation

2022/10/31 by M. N. Demchenko, Demchenko, Maxim N. · 1 citation
Mathematics · #35B40 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2210.17413

openalex publication_date 2022/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a certain ultrahyperbolic equation in a Euclidean space being a generalization of Klein-Gordon-Fock equation. The behavior of solutions at points tending to infinity along timelike directions is studied. We examine the issue of existence of solutions possessing given asymptotic properties at infinity.

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