Establishes L^p well-posedness and exponential asymptotic stability for the 1D wave equation with nonlinear damping using energy functionals and a Lyapunov-based attractivity result on a linear time-varying system.
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L^p-asymptotic stability analysis of a 1D wave equation with a nonlinear damping
Establishes L^p well-posedness and exponential asymptotic stability for the 1D wave equation with nonlinear damping using energy functionals and a Lyapunov-based attractivity result on a linear time-varying system.