Boundary Stabilization of a 1-D Wave Equation with In-Domain Antidamping

2010 ◽  
Vol 48 (6) ◽  
pp. 4014-4031 ◽  
Author(s):  
Andrey Smyshlyaev ◽  
Eduardo Cerpa ◽  
Miroslav Krstic
Keyword(s):  
Wave Equation ◽  
Boundary Stabilization ◽  
D Wave

Uniform boundary stabilization for the finite difference semi-discretization of 2-D wave equation

2013 ◽  
Vol 25 (3) ◽  
pp. 623-643 ◽  
Author(s):  
H. Bouslous ◽  
H. El Boujaoui ◽  
L. Maniar
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Boundary Stabilization ◽  
D Wave

Uniform boundary stabilization for the finite difference discretization of the 1-D wave equation

2016 ◽  
Vol 27 (7-8) ◽  
pp. 1239-1262 ◽  
Author(s):  
H. El Boujaoui ◽  
L. Maniar ◽  
H. Bouslous
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Boundary Stabilization ◽  
Finite Difference Discretization ◽  
Difference Discretization ◽  
D Wave

Uniform boundary stabilization of the finite difference space discretization of the 1−d wave equation

2006 ◽  
Vol 26 (1-3) ◽  
pp. 337-365 ◽  
Author(s):  
Louis T. Tebou ◽  
Enrique Zuazua
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Boundary Stabilization ◽  
Space Discretization ◽  
D Wave

scholarly journals Nonlinear Neumann boundary stabilization of the wave equation using rotated multipliers

2010 ◽  
Vol 16 (2) ◽  
pp. 163-188 ◽  
Author(s):  
P. Cornilleau ◽  
J.-P. Lohéac ◽  
A. Osses
Keyword(s):  
Wave Equation ◽  
Neumann Boundary ◽  
Boundary Stabilization

A Widely Convergent Generalized Pulse- Spectrum Methods for 2-D Wave Equation Inversion

2003 ◽  
Vol 46 (2) ◽  
pp. 373-380 ◽  
Author(s):  
Guofeng FENG ◽  
Bo HAN ◽  
Jiaqi LIU
Keyword(s):  
Wave Equation ◽  
Pulse Spectrum ◽  
D Wave

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.

Boundary stabilization for time-space fractional diffusion-wave equation

2021 ◽  
Author(s):  
Jianping Huang ◽  
Hua-Cheng Zhou
Keyword(s):  
Wave Equation ◽  
Fractional Diffusion ◽  
Boundary Stabilization ◽  
Diffusion Wave ◽  
Time Space

Exact Behavior of Singularities of Protter’s Problem for the 3-D Wave Equation

2003 ◽  
pp. 213-236 ◽  
Author(s):  
Nedyu Popivanov ◽  
Todor Popov
Keyword(s):  
Wave Equation ◽  
D Wave
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