Nikolai A. Larkin, Mikhail P. Vishnevskii
Abstract:
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.
Submitted June 5, 2008. Published October 29, 2008.
Math Subject Classifications: 35Q53, 37K45.
Key Words: BBM equation; regular solution; asymptotic behavior.
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Nikolai A. Larkin Departamento de Matemática, Universidade Estadual de Maringá Ag≖ncia UEM, CEP: 87020-900, Maringá, PR, Brazil email: nlarkine@uem.br |
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Mikhail P. Vishnevskii Laboratorio de Matematika, Universaidade Estadual de Norte Flumenense Alberto Lamego 2000, CEP 28015-620, Campos dos Goytacazes, RJ, Brasil email: mikhail@uenf.br |
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