G. G. Doronin, N. A. Larkin, & A. J. Souza
Abstract:
The initial boundary value problem for the wave equation with nonlinear
second-order dissipative boundary conditions is considered. Existence and
uniqueness of global generalized solutions are proved.
Submitted May 22, 1998. Published October 30, 1998.
Math Subject Classification: 35A05, 35L20, 35A35, 49M15.
Key Words: Initial Boundary-Value Problem, Faedo-Galerkin Method.
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G. G. Doronin Current address: DME-CCT-UFPB, CEP 58109-970, Campina Grande, PB, Brazil Permanent address: 630090 Institute of Theoretical and Applied Mechanics Novosibirsk, Russia e-mail: gleb@dme.ufpb.br |
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N. A. Larkin Departamento de Matematica Fundacao Universidade Estadual de Maringa, CEP 97020-900, Maringa, PR, Brazil e-mail: nalarkin@gauss.dma.uem.br |
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A. J. Souza Departamento de Matematica e Estatistica Universidade Federal da Paraiba CEP 58109-970, Campina Grande, PB, Brazil e-mail: cido@dme.ufpb.br |
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