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We investigate stability properties of indirectly damped systems\udof evolution equations in Hilbert spaces, under new compatibility assumptions.\udWe prove polynomial decay for the energy of solutions and optimize our results\udby interpolation techniques, obtaining a full range of power-like decay rates.\udIn particular, we give explicit estimates with respect to the initial data. We\uddiscuss several applications to hyperbolic systems with hybrid boundary conditions,\udincluding the coupling of two wave equations subject to Dirichlet and\udRobin type boundary conditions, respectively

Indirect stabilization of weakly coupled systems with hybrid boundary conditions