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Decay rates of the solutions of nonlinear dispersive equations

Published online by Cambridge University Press:  14 November 2011

Vanilde Bisognin  and
Gustavo Perla Menzala
Vanilde Bisognin
Affiliation:
Department of Mathematics, Federal University of Santa Maria, RS, Santa Maria, Brazil
Gustavo Perla Menzala
Affiliation:
LNCC/CNPq, Rua Lauro Müller 455, Botafogo, CEP 22290, RJ, Brazil and IM-UFRJ, CP 68530, RJ, Brazil
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Abstract

We consider a family of dispersive equations whose simplest representative would be a Benjamin–Bona–Mahony equation with a Burger's type dissipation. The effect of possible unevenness of the bottom surface is considered and our main result gives decay rates of the solutions in Lβ(ℝ) spaces, 2 ≦ β ≦ + ∞.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 6 , 1994 , pp. 1231 - 1246
Copyright
Copyright © Royal Society of Edinburgh 1994

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