Cicero L. Frota, Luiz A. Medeiros, Andre Vicente
Abstract:
In this article we study the existence, uniqueness and asymptotic stability
of solution to the mixed problem for the semilinear wave equation with
acoustic boundary conditions in domains with non-locally reacting boundary.
We also prove the existence and uniqueness of solution to a problem
with nonmonotone dissipative term.
Submitted July 14, 2014. Published November 18, 2014.
Math Subject Classifications: 35B40, 35L05.
Key Words: Nonlinear wave equation; non-locally reacting boundary;
acoustic boundary conditions; nonlinear boundary condition;
stabilization.
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Cícero L. Frota Universidade Estadual de Maringá - DMA. Av. Colombo, 5790, CEP: 87020-900 Maringá, PR, Brazil email: clfrota@uem.br |
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Luiz A. Medeiros Universidade Federal do Rio de Janeiro - IM. Av. Athos da Silveira Ramos 149 CT, Cidade Universitária CEP: 21941-909, Rio de Janeiro, RJ, Brazil email: luizadauto@gmail.com |
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André Vicente Universidade Estadual do Oeste do Paraná - CCET, Rua Universitária, 2069 Jd. Universitário CEP: 85819-110, Cascavel, PR, Brazil email: andre.vicente@unioeste.br |
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