scholarly journals On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Jiacheng Wang ◽  
Peng-Fei Yao
Keyword(s):  
Wave Equation ◽  
Nonlinear Boundary ◽  
Variable Coefficients ◽  
Semilinear Wave Equation ◽  
Boundary Dissipation

scholarly journals Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Bei Gong ◽  
Xiaopeng Zhao
Keyword(s):  
Wave Equation ◽  
Riemannian Geometry ◽  
Nonlinear Term ◽  
Variable Coefficients ◽  
Time Varying ◽  
Nonlinear Feedback ◽  
Boundary Stabilization ◽  
Semilinear Wave Equation ◽  
The Stability ◽  
Stability Results

We study the boundary stabilization of a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback. By the Riemannian geometry methods, we obtain the stability results of the system under suitable assumptions of the bound of the time-varying term and the nonlinearity of the nonlinear term.

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