Spectral Operators Generated by 3-Dimensional Damped Wave Equation and Applications to Control Theory

1998 ◽  
pp. 177-188 ◽  
Author(s):  
Marianna A. Shubov
Keyword(s):  
Wave Equation ◽  
Control Theory ◽  
Damped Wave Equation ◽  
3 Dimensional

scholarly journals Global existence and dynamic structure of solutions for damped wave equation involving the fractional Laplacian

2021 ◽  
Vol 54 (1) ◽  
pp. 245-258
Author(s):  
Younes Bidi ◽  
Abderrahmane Beniani ◽  
Khaled Zennir ◽  
Ahmed Himadan
Keyword(s):  
Wave Equation ◽  
Global Solution ◽  
Fractional Laplacian ◽  
Necessary Conditions ◽  
Dynamic Structure ◽  
Decay Estimates ◽  
Damped Wave Equation ◽  
Structure Of Solutions ◽  
Nonlinear Source ◽  
Galerkin Approximations

Abstract We consider strong damped wave equation involving the fractional Laplacian with nonlinear source. The results of global solution under necessary conditions on the critical exponent are established. The existence is proved by using the Galerkin approximations combined with the potential well theory. Moreover, we showed new decay estimates of global solution.

Golbal nonexistence in a nonlinearly damped wave equation

2001 ◽  
Vol 80 (3-4) ◽  
pp. 269-277 ◽  
Author(s):  
Salim A. Messaoudi
Keyword(s):  
Wave Equation ◽  
Damped Wave Equation

scholarly journals Energy decay for the damped wave equation on an unbounded network

2018 ◽  
Vol 7 (3) ◽  
pp. 335-351
Author(s):  
Rachid Assel ◽  
◽  
Mohamed Ghazel
Keyword(s):  
Wave Equation ◽  
Energy Decay ◽  
Damped Wave Equation
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