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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 199, Number 2, Pages 330–340
DOI: https://doi.org/10.4213/tmf9620 (Mi tmf9620) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

A. A. Tolchennikovab

a Ishlinsky Institute for Problems in Mechanics, RAS, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia
Full-text PDF (556 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9620
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.
Funding agency Grant number
Russian Science Foundation 16-11-10282
This research was supported by a grant from the Russian Science Foundation (Project No. 16-11-10282).
Received: 15.08.2018
Revised: 15.08.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 199, Issue 2, Pages 761–770
DOI: https://doi.org/10.1134/S0040577919050118
Bibliographic databases:
Document Type: Article
PACS: 02.30.Mv
MSC: 35B40
Language: Russian
Citation: A. A. Tolchennikov, “Behavior of the solution of the Klein–Gordon equation with a localized initial condition”, TMF, 199:2 (2019), 330–340; Theoret. and Math. Phys., 199:2 (2019), 761–770
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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