Electron. J. Diff. Eqns., Vol. 2004(2004), No. 35, pp. 1-12.

Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary

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
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
Pedro Gamboa
Instituto de Matematica - UFRJ
Caixa Postal 68530, CEP 21945-970
Rio de Janeiro, RJ, Brasil
email: pgamboa@dmm.im.ufrj.br
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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