Decay of solutions of a system of nonlinear Klein-Gordon equations

José Ferreira and Gustavo Perla Menzala

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-13

Abstract:

We study the asymptotic behavior in time of the solutions of a system of nonlinear Klein-Gordon equations. We have two basic results: First, in the L ∞ ( ℝ 3 ) norm, solutions decay like 0 ( t − 3 / 2 ) as t → + ∞ provided the initial data are sufficiently small. Finally we prove that finite energy solutions of such a system decay in local energy norm as t → + ∞ .

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:580903

DOI: 10.1155/S0161171286000601

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