scholarly journals General decay estimates for the wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary

2016 ◽  
Vol 60 ◽  
pp. 43-49 ◽  
Author(s):  
Tae Gab Ha
Keyword(s):  
Wave Equation ◽  
Boundary Conditions ◽  
General Decay ◽  
Decay Estimates ◽  
Acoustic Boundary Conditions

scholarly journals General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions

2021 ◽  
Author(s):  
Mi Jin Lee ◽  
Jong-Yeoul Park ◽  
Jum-Ran Kang
Keyword(s):  
Boundary Conditions ◽  
Energy Decay ◽  
General Decay ◽  
Lyapunov Functionals ◽  
Decay Estimates ◽  
Acoustic Boundary Conditions ◽  
Kirchhoff Type ◽  
General Energy ◽  
Viscoelastic Equation ◽  
Nonlinear Delay

In this paper, we consider the general energy decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions. By introducing suitable energy and Lyapunov functionals, we establish the general decay estimates for the energy, which depends on the behavior of both sigma and g.

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