Differentiability of the semigroup associated with a structural damping model
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Let A be a positive definite, self-adjoint operator with the domain D(A) in a Hilbert space H and let B be Aα(0 ≤ α ≤ 1). It is shown that if B satisfies certain conditions, then a differentiable semigroup is generated. Other results give the semigroup property for D. L. Russell's structural damping model.