Dissipative initial boundary value problem for the BBM-equation

This paper concerns a dissipative initial boundary value problem for the Benjamin-Bona-Mahony (BBM) equation. We prove the existence and uniqueness of global solutions and the decay of the energy as time tends to infinity.

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Bibliographic Details
Published in:Electronic journal of differential equations 2008-10, Vol.2008 (149), p.1-10
Main Authors: Mikhail P. Vishnevskii, Nikolai A. Larkin
Format: Article
Language:English
Subjects:
asymptotic behavior
BBM equation
regular solution
Online Access:Get full text
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Description
Summary:This paper concerns a dissipative initial boundary value problem for the Benjamin-Bona-Mahony (BBM) equation. We prove the existence and uniqueness of global solutions and the decay of the energy as time tends to infinity.
ISSN:1072-6691