Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term

2002 ◽  
Vol 15 (2) ◽  
pp. 155-180 ◽  
Author(s):  
M. Aassila ◽  
M.M. Cavalcanti ◽  
V.N. Domingos Cavalcanti
Keyword(s):  
Wave Equation ◽  
Nonlinear Boundary ◽  
Source Term ◽  
Uniform Decay ◽  
Boundary Damping ◽  
Memory Source

Existence and uniform decay of solutions of a degenerate equation with nonlinear boundary damping and boundary memory source term

1999 ◽  
Vol 38 (3) ◽  
pp. 281-294 ◽  
Author(s):  
M.M. Cavalcanti ◽  
V.N.Domingos Cavalcanti ◽  
J.S.Prates Filho ◽  
J.A. Soriano
Keyword(s):  
Nonlinear Boundary ◽  
Source Term ◽  
Degenerate Equation ◽  
Uniform Decay ◽  
Boundary Damping ◽  
Memory Source ◽  
Decay Of Solutions

scholarly journals UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM

Pesquimat ◽  
2014 ◽  
Vol 13 (2) ◽  
Author(s):  
Eugenio Cabanillas Lapa ◽  
Víctor Emilio Carrera Barrantes ◽  
Félix León Barboza ◽  
Juan Benito Bernui Barros ◽  
Zacarías Luis Huaringa Segura
Keyword(s):  
Wave Equation ◽  
Nonlinear Boundary ◽  
Source Term ◽  
Boundary Stabilization ◽  
Quasilinear Wave Equation ◽  
Boundary Damping

En este trabajo nos referiremos a la existencia de soluciones fuertes y decaimiento exponencial del total de energía para el problema de condiciones iniciales asociados con la ecuación de onda cuasi-lineal con una fuente no lineal, bajo el supuesto de que la velocidad en la frontera es disipativa. Los resultados son probado por el método de pozo de potencial, la técnica de multiplicadores adecuada y el teorema de la continuación única para la ecuación de onda con coeficientes variables.

scholarly journals Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term

2004 ◽  
Vol 203 (1) ◽  
pp. 119-158 ◽  
Author(s):  
Marcelo M Cavalcanti ◽  
Valéria N Domingos Cavalcanti ◽  
Patrick Martinez
Keyword(s):  
Wave Equation ◽  
Decay Rate ◽  
Nonlinear Boundary ◽  
Source Term ◽  
Boundary Damping
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