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Journal of Dynamics and Differential Equations
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1379
(FIVE YEARS 286)

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Published By Springer-Verlag

1572-9222, 1040-7294
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scholarly journals Robustness of Polynomial Stability of Damped Wave Equations

2022 ◽  
Author(s):  
Dmytro Baidiuk ◽  
Lassi Paunonen
Keyword(s):  
Boundary Condition ◽  
Wave Equations ◽  
Sufficient Conditions ◽  
Two Dimensional ◽  
Polynomial Stability ◽  
One Dimensional ◽  
Acoustic Boundary Condition ◽  
The Stability ◽  
Perturbed Equation ◽  
Dimensional Wave

AbstractIn this paper we present new results on the preservation of polynomial stability of damped wave equations under addition of perturbing terms. We in particular introduce sufficient conditions for the stability of perturbed two-dimensional wave equations on rectangular domains, a one-dimensional weakly damped Webster’s equation, and a wave equation with an acoustic boundary condition. In the case of Webster’s equation, we use our results to compute explicit numerical bounds that guarantee the polynomial stability of the perturbed equation.

Stabilization of a Semilinear Wave Equation with Delay

2022 ◽  
Author(s):  
Victor Hugo Gonzalez Martinez ◽  
Talita Druziani Marchiori ◽  
Alisson Younio de Souza Franco
Keyword(s):  
Wave Equation ◽  
Semilinear Wave Equation ◽  
Equation With Delay
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