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math.AP2024★ 1 cited
asymptotic stability of 1D damped wave equation with nonlinear distributed damping
Yacine Chitour, Meryem Kafnemer, Patrick Martinez +1
In this paper, we study the one-dimensional wave equation with localized nonlinear damping and Dirichlet boundary conditions, in the framework, with . We sta…
math.AP2022
Lp-asymptotic stability of 1D damped wave equations with localized and nonlinear damping
Meryem Kafnemer, Yacine Chitour
In this paper, we study the -asymptotic stability with of the one-dimensional nonlinear damped wave equation with a localized damping and Dirichlet boundary…
math.AP2021
Lp-asymptotic stability of 1D damped wave equations with localized and linear damping
Meryem Kafnemer, Mebkhout Benmiloud, Frédéric Jean +1
In this paper, we study the -asymptotic stability of the one-dimensional linear damped wave equation with Dirichlet boundary conditions in , with . The…