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Well posedness for damped second-order systems with unbounded input operators

Well posedness for damped second-order systems with unbounded input operators

We consider damped second order in time systems such as those arising in structures with piezoceramic actuators and sensors. These systems are naturally formulated as abstract second order systems with unbounded nonhomogeneous term. Existence, uniqueness and continuous dependence of solutions in a weak or variational setting are given. A semigroup …