Optimality of Energy Estimates for the Wave Equation with Nonlinear Boundary Velocity Feedbacks (original) (raw)

SIAM Journal on Control and Optimization, 2000

Patrick Jeronne MartinezP. Martinez

Abstract

Abstract. We consider the wave equation damped by a nonlinear boundary velocity feedback q(ut). First we consider the case where q has a linear growth at infinity. We prove that the usual decay rate estimates proved by Nakao [Differential Integral Equations, 8 (1995), pp. 681– ...

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