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

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  • José Ferreira
  • Gustavo Perla Menzala

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 → + ∞ .

Suggested Citation

  • José Ferreira & Gustavo Perla Menzala, 1986. "Decay of solutions of a system of nonlinear Klein-Gordon equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-13, January.
    • Handle: RePEc:hin:jijmms:580903
    DOI: 10.1155/S0161171286000601
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