THERMAL SCIENCE

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Muhammet Yazici

GLOBAL EXISTENCE OF SOLUTIONS FOR THE SEMILINEAR KLEIN-GORDON EQUATION WITH A TIME-DEPENDENT VARIABLE COEFFICIENT

ABSTRACT
The semilinear Klein-Gordon equation with initial conditions is studied in de Sitter spacetime. The L∞ decay estimates are derived for the solutions to the linear Klein- Gordon equations with and without source term in de Sitter spacetime. It is also showed the global existence of solutions to the initial value problem with power type non-linear terms for small initial data by using these estimates
KEYWORDS
de Sitter spacetime, semilinear Klein-Gordon eqution, global solutions, L∞ estimates
PAPER SUBMITTED: 2022-08-31
PAPER REVISED: 2022-10-13
PAPER ACCEPTED: 2022-10-17
PUBLISHED ONLINE: 2023-01-29
DOI REFERENCE: https://doi.org/10.2298/TSCI22S2591Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 2, PAGES [591 - 601]
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Global existence of solutions for the semilinear Klein-Gordon equation with a time-dependent variable coefficient

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence