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International Mathematical Series
We study the boundary feedback stabilization for a one-dimensional wave equation with an interior point mass. We show that if the initial data belong to a certain invariant subspace of the semigroup of operators that generates the solution of the system, then the energy will decay like C/time. This improves a result of Hansen and Zuazua  who consider decay of solutions belonging to the domain of a power of the infinitesimal generator of the semigroup. (1)doi:10.1007/978-1-4615-0777-2_16 fatcat:ebgoz4p2rratjcogcpojvrychm