Abstract
In this paper, we examine regularity issues for two damped abstract elastic systems; the damping and coupling involve fractional powers of the principal operators, with . The matrix defining the coupling and damping is nondegenerate. This new work is a sequel to the degenerate case that we discussed recently. First, we prove that for , the underlying semigroup is analytic. Next, we show that for , the semigroup is of certain Gevrey classes. Finally, some examples of application are provided.
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