A. A. Tolchennikov, “Behavior of the solution of the Klein–Gordon equation with a localized initial condition”, TMF, 2019, Volume 199, Number 2,Pages <nobr>330

This article is cited in 3 papers

Behavior of the solution of the Klein–Gordon equation with a localized initial condition

A. A. Tolchennikov^ab

^a Ishlinsky Institute for Problems in Mechanics, RAS, Moscow, Russia
^b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia

Abstract: We consider the Klein–Gordon equation with a localized initial condition and describe the transition of the solution from localized to rapidly oscillating when the equation parameter changes.

Keywords: Klein–Gordon equation, localized initial condition.

PACS: 02.30.Mv

MSC: 35B40

Received: 15.08.2018
Revised: 15.08.2018

DOI: 10.4213/tmf9620