EXPONENCIAL DECAY OF WAVE EQUATION WITH A WEAKLY NONLINEAR BOUNDARY DISIPATION AND SOURCE TERM

In this article, we are concerned with the stability of solutions for the wave equation with a weakly nonlinear boundary dissipation and source term. The resultsare proved by means of the potential well method, the multiplier technique and a newintegral inequality.

Detalles Bibliográficos
Autores: Cabanillas Lapa, Eugenio, Izaguirre Maguiña, Raúl Moisés, Bernui Barros, Juan Benito, Huaringa Segura, Zacarías Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:Perú
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Idioma:español
OAI Identifier:oai:revistasinvestigacion.unmsm.edu.pe:article/9494
Acceso en línea:https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9494
Access Level:acceso abierto
Palabra clave:Kirchhoff equation
Source term
Boundary stabilization
Unique continuation.
Ecuación de Kirchhoff
Término fuente
Estabilización en la frontera
Continuación única.
Descripción
Sumario:In this article, we are concerned with the stability of solutions for the wave equation with a weakly nonlinear boundary dissipation and source term. The resultsare proved by means of the potential well method, the multiplier technique and a newintegral inequality.