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

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∞(ℝ3) 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 su...

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Main Authors:	José Ferreira, Gustavo Perla Menzala
Format:	Article
Language:	English
Published:	Hindawi Limited 1986-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	nonlinear Klein-Gordon equations decay local energy uniform decay.
Online Access:	http://dx.doi.org/10.1155/S0161171286000601

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spelling	doaj-74e5d39059b74782a5612bbbd30043be2020-11-24T23:53:37ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019347148310.1155/S0161171286000601Decay of solutions of a system of nonlinear Klein-Gordon equationsJosé Ferreira0Gustavo Perla Menzala1Institute of Mathematics, UFRJ P.O. Box 68530, Rio de Janeiro, RJ, BrazilInstitute of Mathematics, UFRJ P.O. Box 68530, Rio de Janeiro, RJ, BrazilWe 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∞(ℝ3) 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→+∞.http://dx.doi.org/10.1155/S0161171286000601nonlinear Klein-Gordon equationsdecaylocal energyuniform decay.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	José Ferreira Gustavo Perla Menzala
spellingShingle	José Ferreira Gustavo Perla Menzala Decay of solutions of a system of nonlinear Klein-Gordon equations International Journal of Mathematics and Mathematical Sciences nonlinear Klein-Gordon equations decay local energy uniform decay.
author_facet	José Ferreira Gustavo Perla Menzala
author_sort	José Ferreira
title	Decay of solutions of a system of nonlinear Klein-Gordon equations
title_short	Decay of solutions of a system of nonlinear Klein-Gordon equations
title_full	Decay of solutions of a system of nonlinear Klein-Gordon equations
title_fullStr	Decay of solutions of a system of nonlinear Klein-Gordon equations
title_full_unstemmed	Decay of solutions of a system of nonlinear Klein-Gordon equations
title_sort	decay of solutions of a system of nonlinear klein-gordon equations
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1986-01-01
description	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∞(ℝ3) 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→+∞.
topic	nonlinear Klein-Gordon equations decay local energy uniform decay.
url	http://dx.doi.org/10.1155/S0161171286000601
work_keys_str_mv	AT joseferreira decayofsolutionsofasystemofnonlinearkleingordonequations AT gustavoperlamenzala decayofsolutionsofasystemofnonlinearkleingordonequations
_version_	1725468813333364736

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

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