A general stability result for a quasilinear wave equation with memory

2013 ◽  
Vol 14 (4) ◽  
pp. 1854-1864 ◽  
Author(s):  
Salim A. Messaoudi ◽  
Muhammad I. Mustafa
Keyword(s):  
Wave Equation ◽  
Stability Result ◽  
Quasilinear Wave Equation ◽  
General Stability ◽  
With Memory

On a quasilinear wave equation with memory

1991 ◽  
Vol 16 (1) ◽  
pp. 61-78 ◽  
Author(s):  
Ricardo Torrejón ◽  
Jiongmin Yong
Keyword(s):  
Wave Equation ◽  
Quasilinear Wave Equation ◽  
With Memory

scholarly journals Parameter identification for the linear wave equation with Robin boundary condition

2019 ◽  
Vol 27 (1) ◽  
pp. 25-41
Author(s):  
Valeria Bacchelli ◽  
Dario Pierotti ◽  
Stefano Micheletti ◽  
Simona Perotto
Keyword(s):  
Wave Equation ◽  
Mixed Boundary ◽  
Stability Result ◽  
Interval Length ◽  
Left Endpoint ◽  
Linear Wave ◽  
Reconstruction Procedure ◽  
Element Discretization ◽  
Linear Wave Equation ◽  
Bounded Interval

Abstract We consider an initial-boundary value problem for the classical linear wave equation, where mixed boundary conditions of Dirichlet and Neumann/Robin type are enforced at the endpoints of a bounded interval. First, by a careful application of the method of characteristics, we derive a closed-form representation of the solution for an impulsive Dirichlet data at the left endpoint, and valid for either a Neumann or a Robin data at the right endpoint. Then we devise a reconstruction procedure for identifying both the interval length and the Robin parameter. We provide a corresponding stability result and verify numerically its performance moving from a finite element discretization.

scholarly journals Generalized diffusion-wave equation with memory kernel

2018 ◽  
Vol 52 (1) ◽  
pp. 015201 ◽  
Author(s):  
Trifce Sandev ◽  
Zivorad Tomovski ◽  
Johan L A Dubbeldam ◽  
Aleksei Chechkin
Keyword(s):  
Wave Equation ◽  
Memory Kernel ◽  
Diffusion Wave ◽  
With Memory

scholarly journals Wave equation with memory

1999 ◽  
Vol 5 (4) ◽  
pp. 881-896 ◽  
Author(s):  
Eugenio Sinestrari ◽  
Keyword(s):  
Wave Equation ◽  
With Memory
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