scholarly journals Exponential boundary stabilization for nonlinear wave equations with localized damping and nonlinear boundary condition

2017 ◽  
Vol 16 (5) ◽  
pp. 1571-1585 ◽  
Author(s):  
Takeshi Taniguchi ◽  
Keyword(s):  
Boundary Condition ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Nonlinear Wave Equations ◽  
Boundary Stabilization ◽  
Localized Damping

scholarly journals A uniqueness result for the Sine-Gordon breather

2021 ◽  
Vol 2 (2) ◽  
Author(s):  
Rainer Mandel
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Uniqueness Result ◽  
Nonlinear Wave Equations

AbstractIn this note we prove that the sine-Gordon breather is the only quasimonochromatic breather in the context of nonlinear wave equations in $$\mathbb {R}^N$$ R N .

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