Regularity of some structurally damped problems with point control and with boundary control

Abstract We study the regularity of structurally damped abstract systems with application to point control and boundary control problems for plate equations in general multidimensional domains in Rn. Our treatment includes, in particular, both the cases where the damping operator is equal to the square root of the original differential operator, and the case where the damping operator is only “comparable” to such a square root.

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