Electron. J. Differential Equations, Vol. 2018 (2018), No. 17, pp. 1-9.

Decay estimates for the Klein-Gordon equation in curved spacetime

Muhammet Yazici

We consider the initial-value problem for the Klein-Gordon equation in de Sitter spacetime. We derive L-infinity decay estimates for the solution to the linear Klein-Gordon equation in de Sitter spacetime with and without source term.

Submitted June 16, 2017. Published January 13, 2018.
Math Subject Classifications: 35L15, 35C15, 35Q75.
Key Words: De sitter spacetime; Klein-Gordon eqution; fundamental solutions, L-infinity estimates.

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Muhammet Yazici
Department of Mathematics
Faculty of Sciences
Karadeniz Technical University
Trabzon, 61080, Turkey
email: m.yazici@ktu.edu.tr

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