Rioco K. Barreto, Cruz S. Q. de Caldas,
Pedro Gamboa, & Juan Limaco
Abstract:
In this article, we prove the existence of solutions for
a hyperbolic equation known as the the Rosenau and
Benjamin-Bona-Mahony equations. We study increasing, decreasing,
and mixed non-cylindrical domains.
Our main tools are the Galerkin method, multiplier techniques,
and energy estimates.
Submitted April 28, 2003. Published March 11, 2004.
Math Subject Classifications: 35M10, 35B30
Key Words: Benjamin-Bona-Mahony equation, Rosenau equation,
noncylindrical domains.
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Rioco K. Barreto Instituto de Matematica - UFF Rua Mario Santos Braga s/no, CEP: 24020-140 Niteroi, RJ, Brasil email: rikaba@vm.uff.br |
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Cruz S. Q. de Caldas Instituto de Matematica - UFF Rua Mario Santos Braga s/no, CEP: 24020-140 Niteroi, RJ, Brasil email: gmacruz@vm.uff.br |
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Pedro Gamboa Instituto de Matematica - UFRJ Caixa Postal 68530, CEP 21945-970 Rio de Janeiro, RJ, Brasil email: pgamboa@dmm.im.ufrj.br |
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Juan Limaco Instituto de Matematica - UFF Rua Mario Santos Braga s/no, CEP: 24020-140 Niteroi, RJ, Brasil email: juanbrj@hotmail.com |
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